how to find area of a sector

You'll see how to use given information and the formula for the area of a sector to find the answer. Now, OP and OQ are both equal to r, and PQ is equal to of the circumference of the circle, or . Anthony is the content crafter and head educator for YouTube's MashUp Math. When the angle at the centre is 360°, area of the sector, i.e., the complete circle = πr² Arcs and Sectors. Example 1 : Find the perimeter of the sector PQR shown below. You don't. To calculate area of a sector, use the following formula: Where the numerator of the fraction is the measure of the desired angle in radians, and r is the radius of the circle. Draw an altitude straight down from D to segment IK. What if you only want to find the area of a portion of a circle (a sector) and not the entire area? Then, the area of a sector of circle formula is calculated using the unitary method. Sector. A circular sector or circle sector (symbol: ⌔), is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. wikiHow is where trusted research and expert knowledge come together. Python Math: Exercise-8 with Solution. Multiplying Polynomials: The Complete Guide. 5 Awesome (and 100% Free) 6th Grade Algebra Resources! Watch and learn how to find the area of a given sector of a circle. In simple terms it looks like a slice of pie. Standard questions with diagrams progressing to worded questions. Videos, worksheets, 5-a-day and much more A sector is a fraction of the circle’s area. Free. What is the area of a sector bounded by an arc of 60 degrees with a radius of 3 feet? Find the area of sector IDK. : 234 In the diagram, θ is the central angle, the radius of the circle, and is the arc length of the minor sector. April 7, 2020 Watch and learn how to find the area of a given sector of a circle. This area is equivalent to the median angle. How do I find the area of a sector if I know the diameter and the arc length? Through an example question, we'll demonstrate how the relationship between the area of a section and total area can help you find the section's area. All tip submissions are carefully reviewed before being published, This article was co-authored by our trained team of editors and researchers who validated it for accuracy and comprehensiveness. How do I find the area if I only know the radius? With these measurements finding the area of a sector is a simple matter of plugging the numbers into given formulas. See how to find the area of the sector (blue area). So the area of the sector is this fraction multiplied by the total area of the circle. Note: A circular sector or circle sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. Once I've got that, I can plug-n-chug to find the sector area. Trying to find the area of a sector of a circle? Therefore, the central angle is equal to the sector area multiplied by 360° and then divided by πr². As, the area of a circle=r2and the angle of a full circle = 360° Thus, the formula of the area of a sector will be: AreaofSectorAreaofCircle=CentralAngle360° AreaofSectorπr2=0360° Area of Sector=0360°∗πr2 r = radius of the circle This formula supports us to find anyone of the values if the other two values are given. ), Free Math Sheets for 4th Grade! Then you find the area of the isosceles triangle at the central angle. Relate the area of a sector to the area of a whole circle and the central angle measure. A sector of a circle is essentially a proportion of the circle that is enclosed by two radii and … In addition to the radius, you need to know either the degree of the central angle, or the length of the arc. Sector area formula. or A = rl / 2 square units. Question 8 : Find the area of the sector whose radius is 20 cm and perimeter is 110 cm. Are you looking for some extra practice? Now that you know the formulas and what they are used for, let’s work through some example problems! For example, if the arc length is 5 cm and the radius is 8 cm, your new numerator will be 40. About this resource . That gives you the radius. Note: A circular sector or circle sector, is the portion of a disk enclosed by two radii and an arc, where the smaller area is known as the minor sector and the larger being the major sector. You can also find the area of a sector from its radius and its arc length. In the formula given, A is the area of the sector, N is the degree of the central angle of the sector, pi is an irrational number that can be rounded to 3.14, and r is the length of the radius of the circle. Clearly the angle cannot be greater than 360 degrees. Because 120° takes up a third of the degrees in a circle, sector IDK occupies a third of the circle’s area. Doing … The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2; But where does it come from? By signing up you are agreeing to receive emails according to our privacy policy. If you know the length of the arc (which is a portion of the circumference), you can find what fraction of the circle the sector represents by comparing the arc length to the total circumference. Note the circumference and area apply to the entire circle. radius r = 18 cm. In this example, θ is the measure of angle ∠AKB, (the central angle of the green region), but the question only tells you that ∠AKC = 117 degrees. Have thoughts? A spherical sector is a solid portion of the sphere cut off by the plane. In this video, I explain the definition of a sector and how to find the sector area of a circle. 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