SOLUTION: The area of a square is equal to the area of a circle, who is the diameter is 10. What is the length of a side of the Square.

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Question 1142782: The area of a square is equal to the area of a circle, who is the diameter is 10. What is the length of a side of the Square.

Found 2 solutions by ikleyn, math_helper:
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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The area of a square is equal to the area of a circle, highlight%28cross%28who%29%29 which highlight%28cross%28is%29%29 has the diameter highlight%28cross%28is%29%29 of 10.
What is the length of a side of the Square.
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The length of a side of the square is  sqrt%28pi%2A%28d%2F2%29%5E2%29 = sqrt%285%5E2%2Api%29 = 5%2Asqrt%28pi%29 = 5%2Asqrt%283.14%29%29 = 8.86 units (approximately).


Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
The area of a square is equal to the area of a circle, who is the diameter is 10. What is the length of a side of the Square.
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The area of a square is equal to the area of a circle, which has diameter 10. What is the length of a side of the Square.
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Let r = radius of circle (r=5 units)
Let s = side of square

+s%5E2+=+pi%2Ar%5E2++


Solving for s:
+s+=+r%2Asqrt%28pi%29+


The exact answer is (replacing r with its value of 5):
+s+=+highlight%28matrix%281%2C3%2C+%22+%22%2C+5%2Asqrt%28pi%29%2C++%22units%22%29%29+


The approximate answer is:
+s+=+highlight%28matrix%281%2C3%2C+%22+%22%2C+%228.862+%22%2C+%22units%22%29%29+