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Question

If a circle has area 81π square inches, what is the radius?


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Solution

What is the radius of a circle:

The area of the circle is,

A=πr2

Substitute the values in the formula.

81π=πr2πr2=81πr2=81r=±9

The radius cannot be negative. Therefore, the only solution is 9 inches.

Hence, the radius of the circle is 9 inches.


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