Sector area formula geometry The area of a sector is a portion of the entire area of the circle. Method 1: Calculating the Area of a Sector when the Central Angle is known: When finding the area of a sector (using the central angle and radius), you are actually finding a "fractional part" of the area of the entire circle. From the proportions, A / θ = πr² / 2π. If you're behind a web filter, please make sure that the domains *. The bigger sector is known as the major sector. When the central angle formed by the two radii is 90°, the sector is called a quadrant (because the total circle comprises four quadrants, or fourths). In the provided figure, `OAPB` represents the minor sector, where `∠AOB` is the sector angle. HSG. area of sector ZOM = ? pr2 = ? p(20)2 =80p The area of sector ZOM is 80pcm2. A sector of a circle is the area bounded by two radii and the arc between the endpoints of the radii. Step 2: Substitute into the formula: Sector Area = (5 cm) 2 x (π/3) / 2 = 25 cm 2 x π/6 = 25 cm 2 x 0. Recall that the angle of a full circle in radians is 2π. As we know that perimeter refers to the summation of the length of boundaries of any geometrical shape. Example: Calculate the arc length of a curve with a sector area 25 square units and radius as 2 units. The area of the sector can be found using the formula. The area of a sector can be found using these formulas: A = ½r²θ Fundamental concept in geometry, helping students understand . Remember, we need to also use the fact that the radius is 14 meters long in order to solve for the area of the sector. You just take the formula for circumference and area, respectively, and multiply them by the proportion taken up by the central angle. The formula is a little complicated to do in your head. Radius r=8\mathrm{~cm} 2 Find the size of the angle creating the sector. 1. The area of a circle is the plane region bounded by the circle's The arc length, from the familiar geometry of a circle, is = The area a of the circular segment is equal to the area of the circular sector minus the area of the triangular portion (using the double angle formula to get an equation in terms of ): CCSS. To find the arc length with a sector area, multiply the sector area by 2. To figure the area of a sector simply use our sector area calculator. Triangle. You can think of it as the area of a “slice of pizza”. How To Find the Area of a Major Segment of a Circle? Oct 18, 2024 · A sector looks like a slice of a circular pizza. This can be expressed as a proportion. REGENTS WORKSHEETS: Regents-Arc Length GEO/A2/B: 3/2/6: TST PDF DOC: Regents-Sectors GEO/B: 21/1: TST PDF DOC: PRACTICE WORKSHEETS: Practice-Arc Length: 13: WS PDF: Practice-Sectors: 8: WS PDF In this case, they've given me the radius and the subtended angle, and they want me to find the area, so I'll be using the sector-area formula. Give your answer to the nearest tenth. Critical Thinking A circle has a diameter The sector angle varies with the area of the sector that could be measured with the help of the area of sector formula. C. A sector with central angle of pi radians would correspond to a filled semicircle. Introduction to Advanced Concepts Understanding the area of a sector of an ellipse introduces you to more advanced topics in geometry and calculus. Subtract the area of the triangle from the area of the sector. Area of sector. If you know the diameter of the circle, you can find the radius by Formula For Area Of Sector (In Radians) Next, we will look at the formula for the area of a sector where the central angle is measured in radians. Then, divide the product by the radius squared ((SA*2)/r^2). Acute central angles will always produce minor arcs and small sectors. It is used to find the size of a region within a circle when given certain information such as the radius and the measure of the central angle of the sector. Find the area of the sector using the formula (θ / 360 o) × πr 2, if 'θ' is in degrees (or) (1/2) × r 2 θ, if θ' is in radians; Subtract the area of the triangle from the area of the sector to find the area of the segment. What formulae do I need to know? You need to be able to calculate the length of an arc and the area of a sector Calculate the area of the sector (the larger, pie-slice shaped part of the circle). Area of a sector when the central angle is given in degrees. Then, the area of the circle is calculated using the unitary method. Area of a Sector Sector Area Formula. Sector area: Determine the arc length and/or sector area of the following: Sector area A Arc length B — Circumference: Length: 4 Sector area A Arc length B — central angle is 90 degrees Portion: 360 4 1/4 of the entire circle Area of circle: IT (12) Sector: Area 200 sq. This triangle is called the triangle of a sector and can be found by using the formula for the area of a triangle. The curved edge of a sector is the arc. This leads to. In this article, we will learn how to calculate the area of a given circular sector in both degrees and radians. This formula is a direct extension of the circular sector area formula but adjusted to handle the ellipse's different axes. The problems involved in these pdfs include calculating the sector’s area using the radius and the central angle, finding the area of the sector from the arc length, and working out the unknown parameters of the sectors. Step 3: Substitute the radius and angle measure into the formula and solve. Example 2: Area of a Sector in Radians. Find the arc length. This guide includes examples, a free video tutorial, and practice problems worksheet. Area of a sector of a circle = (θ × r 2 )/2 where θ is measured in radians. Area of a Sector: Formula: This formula calculates the area of a sector by determining what fraction of the full circle (360°) the sector represents. 2π = 360° π = 180° The symbol for radians is c but it is more usual to see rad Nov 21, 2023 · The formula for area of a sector is based on the formula for the area of a circle, except that you're calculating the are for a part of a circle instead of the whole. 5 Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. , the whole circle), Then the area of the sector is: Jan 11, 2023 · Subtract the area of the isosceles triangle from the area of the sector and you have the area of the segment: A (segment) = A (sector) - A (triangle) If you know the radius, r , of the circle and you know the central angle, θ \theta θ , in radians of the sector that contains the segment, you can use this formula to calculate the area, A , of Now let us incorporate the value of θ in the area of the sector: Area of Sector = A = (θ) × πr 2. Area of a sector; The area of a sector is a part of the area of the full circle. The area, A, of a circle with radius r is A = πr 2. cannot just multiply the area formula of circles by a fraction. However, the wiper blade itself does not go from the tip of the swing arm, all the way down to the pivot point; it stops short of the pivot point (or, in this mathematical context, the center of the Oct 17, 2024 · A sector looks like a slice of a circular pizza. org are unblocked. For example, if the radius of the circle is 12 units, and the sector angle subtended by the arc at the center = 4π/3 See full list on mathsisfun. To better understand how to calculate the area of a sector it is important to understand that the angle formed by the two straights sides of the sector is proportional to the are of the circle. In order to find the area of a sector with the central angle in radians, we use the formula, Area of sector = (θ/2) × r 2; where θ is the angle subtended at the center, given in radians, and 'r' is the radius of the circle. A circular sector, also known as circle sector or disk sector or simply a sector (symbol: ⌔), is the portion of a disk (a closed region bounded by a circle) enclosed by two radii and an arc, with the smaller area being known as the minor sector and the larger being the major sector. Notes: ARC LENGTH & AREA OF SECTORS Geometry Unit -10 Properties of Circles Page 734 EXAMPLE 2: Find the area of the sector below. where r is the radius and θ is the central angle in degrees. Solution: Using the formula: A = (1/2) * r² * θ. We now have thirteen sectors – number them 1 to 13: If (in radians) is a central angle in a circle with radius r, then the area of the sector formed by an angle is given by 1 2 2 Ar in radians( ) Example Find the area of the sector formed by a central angle of 1. Do not round. The figure below illustrates the measurement: As you can easily see, it is quite similar to that of a circle, but modified to account for the fact that a Nov 24, 2024 · If you're not given the central angle, you'll typically be given the sector area of the arc. 4) 2 1 2 3. There are two (2) variations of the formula to find the area Example 1: finding the area of a sector given the radius and angle. This is in the formula booklet, you do not need to remember it Here is a way to find the formula for the area of a circle: Cut a circle into equal sectors (12 in this example) Divide just one of the sectors into two equal parts. Area of Minor Sector The formula derived in the above section is generally used as the area of the minor sector. Rather, we need to use the degree measure of the central angle and plug it into the area of sectors formula. A Terminal side T Vertex B Initial Side C Area of a sector formula: Area of a sector = \frac{\theta}{360} \times \pi r^{2} θ = angle of the sector. Arc length is a fraction of circumference. Since a sector is a part of a circle, we can find its area as a fractional portion of the area of a circle. Step 1: Sector area = 25 ⇒ (1/2) (2) 2 θ = 25. ly/2R Dec 12, 2024 · How do I find the area of a sector? The area of a sector is simply a fraction of the area of the whole circle. Finding the Area of a Sector of a Circle Find the area of sector ZOM. Jan 2, 2025 · How do I find the area of a sector? The area of a sector is simply a fraction of the area of the whole circle. So, what's the area for the sector of a circle: α → Sector Area. 14, and 'r' is the radius of the circle. Solve it for the central angle. 4 radians in a circle of radius 2. Formulas for Areas of Sector and Segment. In a circle with radius r and center at O, let ∠POQ = θ (in degrees) be the angle of the sector. If The area of a sector is a fractional part of the area of a circle. This gives: So, the area of the sector is approximately 13. Lesson Guide: https://bit. Its area can be calculated using the radius of the circle and angle of the sector, denoted by the Greek letter theta (θ). e. Download the set This should be equal to the area of the larger vector if our formula works for all angles because the sum of both sectors should be the total area of the circle. [1] Area of a sector. units Area of a sector and arc length. In order to solve problems involving the area of a sector you should follow the below steps: Find the length of the radius \pmb{r}. Area of a Segment: Formula: This calculates the segment area by subtracting the triangular area from the sector’s area. The sector of a circle is like a slice of pizza or pie. Problem: Find the area of a sector with a radius of 7 cm and a central angle of 2 radians. Find the area of the blue segment. With this The area of a circular sector represents the amount of space occupied by the sector. Example 3: In Figure 5, find the area of sector RQTS. Find the area of the sector in ⨀ A. 5 \) m. Sector Area = r2 To calculate the sector area, first calculate what fraction of a full turn the angle is. Area of a Semicircle: A semicircle is half of a circle. Sectors can be measured in degrees. Comparing the area of sector and area of circle, we get the formula for the area of sector when the central angle is given in radians. Area of a Segment of a Circle Formula. The area of a circle formula is A = πr 2. Let R be the radius of the circle, a the chord length, s the arc length, h the sagitta (height of the arced portion), and r the apothem (height of the Find the area of the triangle using the formula (1/2) r 2 sin θ. The area of a sector can be found using the formula: sector area = 1 / 2 r²θ. Your answer gives you the central angle in radians. To calculate the area of a sector, we use the formula for the area of the circle as the basis. 1 meters Solution Given: r = 2. The formula for determining the area of a sector is given in two ways, with an angle and without an angle. A great resource for high school, this pdf helps the knowledge of area of sector shine in practice. Round your answers to the nearest tenth. If the central angle is measured in radians, the area of a sector is: The area of a sector is found using proportionality (establishing a "fractional part"). Solve and round to two decimal places. Circle. radians Using the formula: radius (r) = 9 units 405 radius of circle Sector Area — Quick Check: 150 3600 Formula of the Area of Sector of Circle. If you're seeing this message, it means we're having trouble loading external resources on our website. Hence, when the angle is θ, the area of the sector, OAPB = (θ/360°) × πr 2 This derives the formula for the area of a sector of a circle. Thus, a sector’s area is equal to the radius r squared times the central angle θ in radians, divided by 2. 52 (approximately) Step 3: Sector Area = 13 cm 2. How to Calculate Sector Area. 4 2 2 A 1r (2. If the radius is known and the central angle of the sector is given in degrees, the formula to The minor sector is shaded in green while the major sector is shaded white. Quadrant 45° Oct 18, 2024 · A sector looks like a slice of a circular pizza. Sector Area = _____ TERM: DEFINITON: FORMULA: Sector a “slice” of the circle bounded by 2 radii and an arc. Find the area of the right triangle. Area of a sector is a fractions of the area of a circle. What is the formula for the area of sector? The following diagram gives the formula for the area of sector. Find the area of a sector with a radius of 8 cm and a central angle of 60 To calculate the area of a sector, a simple formula can be used. Then, the area of a sector of circle formula is calculated using the unitary method. Area of a Sector: Formulas. A sector is a section of a circle enclosed by two radii of A sector is just a fraction of the area of a circle. The area of a circle with radius r is: A = πr 2. com/JasonGibsonMath In this lesson, you will learn what the radian angle measure is and 5 days ago · A circular sector is a wedge obtained by taking a portion of a disk with central angle theta<pi radians (180 degrees), illustrated above as the shaded region. the Whole circle = πr 2 If you're seeing this message, it means we're having trouble loading external resources on our website. Area with central angle in radians. In this guide, we will cover the key topics related to circles, including the diameter and radius, the circumference and area of a circle, and more advanced concepts such as arc length and sector area. Sector Area Formula. Two radii in a circle will create two sectors. The formula to calculate the sector area is: \(\text{Sector area} = \frac{\text{angle}}{360} \times \pi r^2 Jan 11, 2023 · Arcs of a circle. MATH. Here you will learn how to calculate the area of a sector including how to identify a sector of a circle, form and use the formula for the area of a sector of a circle, and calculate the area of a sector in various scenarios. Did you know that there's a formula to help you find the area of a sector? In this tutorial, you'll learn how to find that formula! Circle Sector Area Formula. Figure 5 Finding the area of a sector of a circle. - First, in order to give a formula for the area of a sector, we need to distinguish two cases: the angle is given in radians, or the angle is given in radians. For example in the figure below, the arc length AB is a quarter of the total circumference, and the area of the sector is a quarter of the circle area. Leave your answer in terms of π. The fraction can be found by dividing the angle at the centre by 360° The formula for the area, , of a sector is. 09 cm². The sector of a circle formula is . kastatic. In order to calculate the area of a segment of a circle, one should know how to calculate the area of the sector of the circle. Length of an Arc: Formula: Dec 2, 2024 · 1 radian is the angle in a sector of radius 1 and arc length 1. This is in the formula booklet for radian measure only Aug 23, 2024 · Plug the sector's central angle measurement into the formula. Practice Problems. Nov 21, 2023 · To find the area of a sector, know the radius or diameter of the circle, and either the sector's angle measurement or the portion of the circle for which the area needs to be calculated. MathAndScience. 60° is one sixth of a full The area of the sector is proportional to its angle, so knowing the circle area formula, we can write that: α / 360° = Sector Area / Circle Area Angle conversion tells us that 360° = 2π On this lesson, you will learn how to use the arc length formula and the sector area formula to solve geometry math problems. 13) 60 ° 10 in 14) 3 m 150 ° 15) 4 cm 3 π 2 16) 14 yd 17 π 12 Find the area of each sector. Nov 21, 2023 · The formula for the area of a sector, or the area of the arc. For the given angle the area of a sector is represented by: The angle of the sector is 360°, area of the sector, i. We know that the area of the whole circle is equal to πr². Major sector has a central angle is more than 180 o. 1 m Area of a sector formula; Area of a Sector calculation; Example: find the area of a sector Area of a sector formula. The same method may be used to find arc length – all you need to remember is the formula for a circle's circumference. How does this relate to high school math? High School – Geometry – Circles (HS. How to use the area of a sector formula? The area of sector will be based on the area of circle formula, when considering the whole circle. Solution to Problem 2: The formula for the area of a sector is Area = (1 / 2) * angle of sector * r 2; The area and the angle are given. 1 m = 1. Calculate the area of this sector which has a 60° angle to one decimal place. feet — feet I 144 Tr 4 Sector area A = — sq. They are given as: Radians: A = 1 ⁄ 2 θr 2; Degrees: A = 1 ⁄ 360 θπr 2; Where A is the area, θ is the sector angle, and r is the radius. From the proportion, we can easily find the final sector area formula: Sector Area = α × πr² / 2π = α × r² / 2. Find the size of the angle creating the sector. In a circle with radius r and centre at O, let ∠POQ = θ (in degrees) be the angle of the sector. A = (L/r) × (r 2 /2) A = (L × r)/2. The smaller sector is known as the minor sector. Students will first learn about the area of a sector as part of geometry in high school. Let’s do this now. There are two sector area formulas; one for a sector measured in radians, and another for a sector measured in degrees. Solution: As with arc length, we have to make sure that the angle is measured in radians or else the answer will be way off. MATH 1330 - Section 4. Area formula. Formula for area of a sector. A sector is part of a circle bound by the central angle and its intercepted arc. \theta=115^{\circ} 3 Substitute the values you know into the formula for the area of a A slice of pizza is a real world example of a sector. Apr 1, 2025 · A sector of a circle is a portion of a circle contained between two radii of the circle. The fraction can be found by dividing the angle at the centre by 360° The formula for the area, , of a sector is . So, the area of the sector is 49 Jan 3, 2024 · For this reason, the formulas for arc length and sector area are actually quite simple to remember. Both can be calculated using the angle at the It is just a matter of plugging in the values in the area of the sector formula given below. Formula for the Area of Sector `1`. Where is the angle measured in degrees. Here’s what that looks like: Arc Length = (2πr)(central angle/360°) Sector Area = (πr^2 )(central angle/360°) Jan 28, 2013 · The document discusses formulas for calculating the area of a sector of a circle. So I can plug the radius and the arc length into the arc-length formula, and solve for the measure of the subtended angle. Area of a Sector Formula: When Angle Is Given If the radius of a circle is given as “r” and the angle of the sector is given as . If r is the radius and \widehat{AB} is the arc bounding a sector, then the area of the sector is \(A=\dfrac{m\widehat{AB} }{360^{\circ}}\cdot \pi r^2\). The formula can also be represented as Sector Area = (θ/360°) × πr 2, where θ is measured in degrees. Determine the area of the sectorial triangle formed by the two radii of the circle and the chord. Once I've got that, I can plug-n-chug to find the Aug 3, 2023 · There are three formulas for calculating the area of a sector of a circle. Doing this will give you what fraction or percent of the entire circle the sector represents. When the angle of the sector is 360° (i. Figure 3 A sector of a circle. CONTENT. Example 2: In Figure 4, find the area of sector OACB. In this formula theta is measured in degrees, if theta is given in radians the second formula is used. Figure 4 Finding the area of a sector of a circle. The area of a sector can also be determined by finding the area of the triangle formed by the two radii and the chord of the sector. We can find the area of a sector of a circle in a similar manner. How to Find the Area of a Sector Given the Central Angle in Degrees. 17) 16 ft 240 ° 18) 14 in 315 ° 19) 14 cm 3π 2 20) 12 ft 19 π 12 21) r = 10 mi, θ = π 2 22) r = 12 yd, θ = 5π 3 23) r = 7 km, θ = 60 ° 24) r = 7 mi, θ Arc length formula. Each of these formulas is applied depending on the type of information given about the sector. com To calculate the area of a sector of a circle we have to multiply the central angle by the radius squared, and divide it by 2. Divide the central angle by 360. G. The exact area of many common shapes can be calculated using well-defined formulas. What formulae do I need to know? You need to be able to calculate the length of an arc and the area of a sector Our printable finding the area of a sector worksheets usher in renewed knowledge and repeated practice of the topic. What formulae do I need to know? You need to be able to calculate the length of an arc and the area of a sector To calculate the sector area, first calculate what fraction of a full turn the angle is. 5) Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector. 1) The formula to calculate the area of a sector of a circle when θ is in degrees is given by: Area of a sector $= \frac{θ}{360^{\circ}} \times \pi r^{2}$ where: θ is the angle of the sector in degrees (angle subtended by the arc at the center) r is the radius of the circle To find the area of the sector, I need the measure of the central angle, which they did not give me. 1) 2 (1. Step 2: Use the appropriate formula to find either the arc length or area of a sector. It states that the area of a sector is proportional to the central angle subtended, and provides the formula to calculate sector area given the radius and central angle. Different names are sometimes given to sectors with different central angles. The area of a triangle with base, b, and height The angle of a sector in a given circle is 40 degrees and the area of the sector is equal to 20 cm 2. 2 - Radians, Arc Length, and Area of a Sector Two rays that have a common endpoint (vertex) form an angle. There are three formulas for calculating the area of a sector. Example: What is the area of this rectangle? The formula is: Area = w × h Tool Area Area of Irregular Polygons Geometry Apr 7, 2020 · On this step-by-step guide, you will learn how to use the arc length formula and the sector area formula to measure arcs and find the area of a sector of a circle. The formula for finding the area of a sector of a circle when the angle `θ` is in degrees can be expressed as follows: National 5; Circle geometry Area of a sector. Jun 15, 2022 · Area of Sectors and Segments. The formula for the area of a sector is: A = r² × θ / 2 Oct 24, 2024 · Area of the shaded sector, a portion of a circle bounded by two radii and an arc, is calculated using the formula: Area = (Central Angle/360) * πr², where 'Central Angle' represents the angle formed by the two radii in degrees or radians, 'π' is the mathematical constant approximately equal to 3. Special Cases. Find the area of the segment. kasandbox. Plug in the values of radius and central angle in the formula to compute the area of the sector. Area formulas of common shapes. The only difference is that instead of figuring out the area of a complete circle, we are figuring out the area of a portion or part of that circle. is the radius . Calculate the arc length of the sector. Math topics related to the Area of a With our calculator, you will easily find the circle sector area with formulas, solutions, and definitions. Mar 1, 2022 · Regents Mathematics Formula Guide Area of a Triangle Formula August 2017 Geometry Regents, Question 23. r = radius of the circle. Perimeter Formula for a Sector. It can be found by using the formula \frac{\theta}{360} \times \pi r^{2}. Sector Area = ½ × r 2 angles to b . Oct 17, 2024 · A sector looks like a slice of a circular pizza. Using proportionality, find one of the following given two others; the central angle, arc length, radius or area of sector. All the three formulas give the same result but are used based on the information given about the sector. Find the area of a sector whose angle is \(117^\circ \) in a circle of radius \(3. It should be noted that `AQBO` also forms a sector of the circle, called the major sector. The area of a two dimensional shape or geometric figure is the space contained within its perimeter. org and *. Use the formula for the area of a sector: [ \text{Area of Sector} = \frac{\theta}{360} \times \pi r^2 Sep 16, 2022 · Example 4. Mar 1, 2025 · Find the area of the equilateral triangle with side length 6. Leave your answer in terms of p. Similarly below, the arc length is half the circumference, and the area id half the total circle. Substitute the values: A = (1/2) * 7² * 2 A = (1/2) * 49 * 2 A = 49 cm². One ray is the initial side and the other is the terminal side. Calculate the area of the sector shown below. Central angle = 2 units. To find the area of the circle: To find the area of the smaller sector (note, 30 degrees in radians is : Clearly, the total area of the circle minus the area of the small sector is Substitute the values of radius and sector area in the formula of sector area. Angle measure is in degrees. The ratio of a sector’s area to a circle’s area is . is the radius. comTwitter: https://twitter. Pi is a ratio in geometry If you're seeing this message, it means we're having trouble loading external resources on our website. The formulas for a circle’s segment are as follows: Find the area of each sector. Scroll down the page for more examples and solutions. We need the same things as with the formula to find the length of a sector (arc length): the length of the radius and the measure of Common Core State Standards. Radians are normally quoted in terms of π. The formula to find segment area can be either in terms of radians or in terms of degree. so, if we use substitution in the above formula: Sector Area — (measure of central angle) 360 (measure of central angle) 2ÁRñdians) and cancel the 's Sector Area (using radian measure) Example: Find the sector area of the shaded region. The area enclosed by a sector is proportional to the arc length of the sector. Find the length of the radius. The area of a sector can be found with: A = r 2 θ 2 ; Minor sector has a central angle is less than 180 o. Area of a sector is typically taught in geometry classes, specifically in the study of circles. For example, In this sector, \theta=30^{o}, r=8 \mathrm{~cm}. What formulae do I need to know? You need to be able to calculate the length of an arc and the area of a sector More Lessons: http://www. We typically will draw angles in the coordinate plane with the initial side along the positive 𝑥-axis. Recall the formula for finding the area of a sector of a circle: Since the central angle and the radius are given in the question, plug them in to find the area of the sector. Use the image to answer questions 15 through 17. Jul 26, 2024 · If the subtended angle is 1°, the area of the sector is given by, πr 2 /360°. However, the formula for the arc length includes the central angle. Round your answer to the nearest hundredth. B. So, the area of the shaded sector Area of a Sector. We can calculate the area of a circular sector by finding the total area of the circle and multiplying it by the angle of the sector over 360°. Sector Area = _____ QUICK CHECK: Find the area of the sector below. The sector area is shown in red below: Area of a circle formula. To find its area, we can use the sector area formula with a central angle of π radians (180 degrees). The arc length, s, of a circle is , where θ is the central angle, as shown in the figure below. We have, Sector area = 25 units. Sector formula. A / θ = r² / 2. The formula for the area of a sector is (angle / 360) x π x radius 2. 9. xwv fobgcz bttv utchab fjohs fhwnnn fxjprz xaqiuhv rnnp ojsj uoyq tdry mdvhly hcqluc luwin