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

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  30.25π square inches

Step-by-step 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

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

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