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.

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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<br>

{{{ s^2 = pi*r^2  }}}
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Solving for s:
{{{ s = r*sqrt(pi) }}}
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The exact answer is (replacing r with its value of 5):
{{{ s = highlight(matrix(1,3, " ", 5*sqrt(pi),  "units")) }}} 
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The approximate answer is:
{{{ s = highlight(matrix(1,3, " ", "8.862 ", "units")) }}}