SOLUTION: A circle has an area of 113.097 sq ft calculate the diameter of the circle was just wondering what the formula is for doing this

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Question 221435: A circle has an area of 113.097 sq ft calculate the diameter of the circle

was just wondering what the formula is for doing this

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
For a circle, the area is given by:
A+=+pi%2Ar%5E2 or, if you have the diameter, substitute r+=+d%2F2
A+=+pi%2A%28d%2F2%29%5E2 So now, if you substitute A+=+113.097 and solve for d, you get:
113.097+=+pi%28d%2F2%29%5E2 Then square the parentheses.
113.097+=+pi%2Ad%5E2%2F4 Multiply both sides by 4.
452.382+=+pi%2Ad%5E2 Divide both sides by pi.
452.382%2Fpi+=+d%5E2 Finally, take the square root of both sides.
sqrt%28452.382%2Fpi%29+=+d Evaluate this and you'll have your answer!