# The area of this circle is 42πm^{2}. What is the area of a 60º sector of this circle?

**Solution:**

The formula to find the area of sector is written as

Area of a sector = x/360 × πr^{2}

Where x is the angle of the sector

r is the radius of the circle and πr^{2 }is the area of the circle.

Given: x = 60º and area of the circle = 42πm^{2}

Substituting these values

Area of a sector = 60/360 × 42π

Area of a sector = 1/6 × 42π

Area of a sector = 7πm^{2}

Therefore, the area of the sector is 7πm^{2}.

## The area of this circle is 42πm^{2}. What is the area of a 60º sector of this circle?

**Summary:**

The area of this circle is 42πm^{2}. The area of a 60º sector of this circle is 7πm^{2}.

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