Question bank / Circles

Math · Geometry and TrigonometryEasy

A circle has a circumference of 18π18\pi inches. What is the area, in square inches, of the circle?

A

9π9\pi

B

36π36\pi

C

81π81\pi

D

324π324\pi

Show answer and explanation

Answer: C

From 2πr=18π2\pi r = 18\pi, the radius is r=9r = 9 inches. The area is πr2=π(9)2=81π\pi r^2 = \pi(9)^2 = 81\pi square inches.

Choice D uses 1818 as the radius, but 1818 is the diameter.

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