Question

The radius of a circle is 9 kilometers. What is the area of a sector bounded by a 132° arc?

Answer 1

(theta/360) * pi * radius^2

Answer 2

Convert to radians first. Then, plug it into the formula; (1/2)*(r^2)*theta. If you have trouble remembering this, try using it to find the area of a full circle(where theta would be 2pi)

(1/2)*(r^2)*(2pi)=pi*r^2--which is what we expect.

The answer should be around 93 square kilometers.

Answer 3

thats a big circle