SOLUTION: WHAT IS THE AREA OF THE CIRCLE IF THE SQUARE INSCRIBED OF AREA 57 SQUARE METER

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Question 669155: WHAT IS THE AREA OF THE CIRCLE IF THE SQUARE INSCRIBED OF AREA 57 SQUARE METER
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
Length of the diagonal = diamter of the circle
area = 57m^2
Area of square = l^2 where l is the length of the side of square.
l+=+sqrt%2857%29
The diagonal can be found out by Pythagoras theorem
%28side1%29%5E2%2B%28side2%29%5E2=+hypotenuse%5E2
%28sqrt%2857%29%29%5E2+%2B+%28sqrt%2857%29%29%5E2=+diagonal%5E2
57%2B57+=+diagonal%5E2
114+=+diagonal+%5E2
diagonal+=+sqrt%28114%29
Area+of+cirlce=+pi%2A%28d%5E2%2F4%29 where d is the diameter
Area = pi*114/4
area = 89.57 m^2