Question

The circumference of a circle is 11 pi inches.

What is the area, in square inches, of the circle? Express your answer in terms of pi

Answer 1

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Answer:

30.25π square inches

Explanation:

You can use the formula for area in terms of circumference:

A = C²/(4π)

A = (11π)²/(4π) = (121/4)π = 30.25π . . . square inches

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You may be expected to find the radius first:

C = 2πr ⇒ r = C/(2π) = 11π/(2π) = 5.5 . . . inches

Then use the area formula:

A = πr² = π(5.5 in)² = 30.25π in²