Question

A circle with radius 10 has a sector with a central angle of 2/5pi radians.

What is the area of the sector?

Answer 1

20π square units

Explanation:

The area of a sector with central angle θ is ...

A = (1/2)r²θ

Filling in the given values, we find the area to be ...

A = (1/2)(10 units)²(2/5π) = 20π units²

The area of the sector is 20π units².