Question

The radius of the circle is 20 cm and the angle at the origin in 116 degrees.

Find the area of the shaded region.

Answer 1

Explanation:

To find the area of the shaded region, we need to find the area of the sector of the circle with angle 116 degrees and subtract it from the area of the whole circle.

The area of the sector with angle 116 degrees can be found using the formula:

sector area = (angle/360) * pi * r^2

Substituting the given values, we get:

sector area = (116/360) * pi * 20^2 = 50.6 cm^2

The area of the whole circle is:

circle area = pi * r^2 = pi * 20^2 = 400 cm^2

Therefore, the area of the shaded region is:

400 cm^2 - 50.6 cm^2 = 349.4 cm^2

So the area of the shaded region is 349.4 cm^2.