Question

A circle with radius 10 has a sector with a central angle of 2/5 pi radians what is the area of the sector in terms of pi

Answer 1

20π square units

Explanation:

The area of a sector is given by ...

A = (1/2)r²θ

where r is the radius and θ is the central angle in radians.

Filling in your numbers, we find the area to be ...

A = (1/2)(10²)(2/5π) = 20π

The area of the sector is 20π square units.