Question

A circle with radius 9 has a sector with a central angle of 120 degrees. What is the area of the sector?

Answer 1

Explanation:

January 15, 2012 4:31PM

I assume you want the area of the sector with angle 120o and radius 9 cm:

120o is 120/360 = 1/3 of a full circle.⇒ area of sector is 1/3 area of full circle

⇒ area_of_sector = 1/3 x π x radius2 = 1/3 x π x (9 cm)2

= 27π cm2

≈ 84.82 cm2