# How do you calculate the area of a segment of a circle?

Circle - Radian Measure:

The length L of the arc is given by L = Phi*r

The area A of the sector is given by A = Phi*r^2 / 2

Problems:

1. Calculate the area of a segment of angle pi/2 cut from a circle of radius 5cm.

2. Calculate the area of a segment of angle pi/3 rad cut from a circle of radius 10 cm.

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#### Solution Summary

This solution shows the step by step calculations formatted in an attached Word document for determining the area.

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