How do you find the shaded area of a circle?

To find the shaded area of a circle, calculate the area of the full circle and multiply it by the fraction of the circle that is shaded. The fraction of the circle that is shaded can be determined by dividing the angle that the shaded region covers by 360 degrees.

If 120 degrees of a circle with a radius of 10 centimeters was shaded, the area of the full circle would be 100*pi. Since 120 degrees is exactly one-third of a full circle, multiplying the circle area by 1/3 would yield the shaded area of the circle as 100*pi*1/3, or approximately 104.67 square centimeters.