how to find area of a sector

Plug the sector's central angle measurement into the formula. For example, if the central angle is 100 degrees, you will divide 100 by 360, to get 0.28. The area of a sector is thus a fraction of the area of the circle. What Is The Area of Sector Formula? Finally, multiply .28 by 78.5 for a final answer of 21.89, which is the area of the sector. How can I find the length of an arc of a circle? We can use this to solve for the circumference of the circle, , or . Geometry Transformations: Rotations 90, 180, 270, and 360 Degrees! If the angle is 180 degrees then the sector is a semi-circle. Whenever you want to find area of a sector of a circle (a portion of the area), you will use the sector area formula: Where θ equals the measure of the central angle that intercepts the arc and r equals the length of the radius. What is the central angle if the radius is 7 cm and the area of a sector is 15 cm squared? A sector is a fraction of the circle’s area. where 'l' is the length of the minor arc AB. Circle; Perimeter; Polygons; Quadrilaterals; Special Points; Discover Resources. Please help us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikiHow on your ad blocker. Once I've got that, I can plug-n-chug to find the sector area. By signing up you are agreeing to receive emails according to our privacy policy. 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. So the area of the sector is this fraction multiplied by the total area of the circle. Note the circumference and area apply to the entire circle. Before you can use the Sector Area Formula, you will have to find the value of θ (the central angle that intercepts arc AB, which is the arc of the shaded region) and the length of the radius of circle K. You already know that the radius r is equal to 5. That gives you the radius. As shown above, the formula is (60°/360°) π (3)² = (1/6)(3.14159)(9). It is enclosed by the two radii from the center of the sphere. Sector. To calculate the sector area, first calculate what fraction of a full turn the angle is. Given the diameter, d, of a circle, the radius, r, is: r = d 2. a. To learn how to calculate the area of a sector if you don’t know the central angle, read on! Our sector area calculator can help you calculate the area of a sector. How to Calculate the Area of a Sector of a Circle. What if you only want to find the area of a portion of a circle (a sector) and not the entire area? Therefore, the area of the circle is 113.04 inches squared. What is the sector area formula? Formula to find length of the arc is l = θ/36 0 ° ⋅ 2 ∏ r. Formula to find area of sector is A = θ/360 ° ⋅ ∏r 2 square units. A circle is 360 degrees, so when you place the measurement of the sector's central angle over 360, it gives you the fraction of the whole circle. Calculating the Area with a Known Central Angle and Radius, {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/4\/4b\/Calculate-the-Area-of-a-Sector-Step-1.jpg\/v4-460px-Calculate-the-Area-of-a-Sector-Step-1.jpg","bigUrl":"\/images\/thumb\/4\/4b\/Calculate-the-Area-of-a-Sector-Step-1.jpg\/aid1517870-v4-728px-Calculate-the-Area-of-a-Sector-Step-1.jpg","smallWidth":460,"smallHeight":345,"bigWidth":"728","bigHeight":"546","licensing":"