Area Of A Section Of A Circle Formula

You can also find the area of a sector from its radius and its arc length.

Area of a section of a circle formula. Find the area of the entire circle using the area formula a πr 2. Then the area of a sector of circle formula is calculated using the unitary method. To find the segment area you need the area of triangle idk so you can subtract it from the area of sector idk.

Check out more circle theorems and their converses here. Example questions based on segment formula. Area of the sector aob blue region green region θ 360 πr 2 60 360 π 6 2 6π cm 2.

What is the area of the segment corresponding to the arc subtending an angle of 60 at the centre of a circle with radius 6 cm. Area of the circular region is πr. Here is a three tier birthday cake 6 6 inches tall with a diameter of 10 10 inches.

If you know the central angle. What the formulae are doing is taking the area of the whole circle and then taking a fraction of that depending on what fraction of the circle the sector fills. Let this region be a sector forming an angle of 360 at the centre o.

The formula for area a a of a circle with radius r and arc length l l is. That creates two 30 60 90 triangles. Find the fraction of the circle by putting the angle measurement of the sector over 360 the total number of degrees in a circle.

A r l 2 a r l 2. So for example if the central angle was 90 then the sector would have an area equal to one quarter of the whole circle. Find the area of circle segment ik.