A 45 degree sector in a circle has an area of 13.75 pi cm2 what is the area of the circle?

Question



Answer 1

The key to solving this easily is to ask yourself how many 45 degree (= π/4) sectors reside in the circle?

360 / 45 = 8 ⇒ 8*13.75π = 110π cm²

Alternatively, noting that the entire circle has 360 degress, you can set up a ratio:

A / (2π) = (13.75π) / (π/4)

A = (2π) * (13.75π) / (π/4) = 110π cm²