Question

What is the area of a sector with measure of arc equal to 90° and radius equal to 1 foot?

Answer 1

Let's think about this. That sector is what part of the entire circle?

Answer 2

Alright? so

Answer 3

The formula for the ara of a sector is n/360 x (pi)(radius)^2, where n = number of degrees in the central angle of the arc. In your case, n = 360; so the area of the sector will be 90/360 x (pi)(1)^2 = 1/4 x pi or pi/4.