Question

A 20° sector in a circle has an area of 684 yd2.

What is the area of the circle?

_________ yd2

Answer 1

Set up a proportion:

We know that a circle equals 360 degrees, 20 degrees is equal to 684 yards, so we want to know the area of 360 degrees:

20/684 = 360/x

Cross multiply:

20x = 246240

Divide 20 to both sides:

x = 12312