Area Of Section Of Circle

Please input radius of the circle and the central angle in degrees then click calculate area of sector button.

Area of section of circle. Here is a three tier birthday cake 6 6 inches tall with a diameter of 10 10 inches. Which can be simplified to. Draw an altitude straight down from d to segment ik.

More formally a circular segment is a region of two dimensional space that is bounded by an arc of less than 180 of a circle and by the chord connecting the endpoints of the arc. Area of sector θ 2 r 2 when θ is in radians area of sector θ π 360 r 2 when θ is in degrees. Is the trigonometry sine function.

Area of the circular region is πr. A circle has an angle of 2 π and an area of. The formula to find the area of the segment is given below.

Is a region of a circle which is cut off from the rest of the circle by a secant or a chord. Let this region be a sector forming an angle of 360 at the centre o. Find the area of circle segment ik.

A r l 2 a r l 2. You re all set to finish with the segment area formula. It can also be found by calculating the area of the whole pie shaped sector and subtracting the area of the isosceles triangle acb.

θ 2π π r2. The area of the sector can be obtained by multiplying the circle s area by the ratio of the angle θ expressed in radians and 2 π because the area of the sector is directly proportional to its angle and 2 π is the angle for the whole circle in radians. The formula for area a a of a circle with radius r and arc length l l is.