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# How do you find the shaded area of a circle?

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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.

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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.

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## Related Questions

• A:

An apothem of a triangle depends upon either the length of one of its side or the radius of a circle that fits inside it. There are two methods of determining an apothem through known measurements.

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The center of a circle can be determined by finding the point of intersection of the perpendicular bisectors of two of its chords. This is accomplished using a compass and a ruler.

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To find the arc of a circle, divide the angle subtended at the center of the arc by 360 degrees, then multiply the answer by the circumference of the circle. You need to know the value of pi and must have a protractor to complete this task.