The area of this circle is 42πm². 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 × πr²

Where x is the angle of the sector 

r is the radius of the circle and πr² is the area of the circle.

Given: x = 60º and area of the circle =  42πm²

Substituting these values 

Area of a sector = 60/360 × 42π

Area of a sector = 1/6 × 42π

Area of a sector = 7πm²

Therefore, the area of the sector is 7πm².

The area of this circle is 42πm². What is the area of a 60º sector of this circle?

Summary:

The area of this circle is 42πm². The area of a 60º sector of this circle is 7πm².