SOLUTION: A square steel bar is equal in area to a 5" diameter steel rod. Determine side of the square. Not sure how to proceed. Non-homework. Thanks.

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Question 1085130: A square steel bar is equal in area to a 5" diameter steel rod. Determine side of the square.
Not sure how to proceed. Non-homework. Thanks.

Found 2 solutions by Alan3354, josmiceli:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
A square steel bar is equal in area to a 5" diameter steel rod. Determine side of the square.
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Area of the rod = pi*r^2 = 6.25*pi sq inches
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Area of the bar = s^2 (s = side length)
s^2 = 6.25pi
s = 2.5*sqrt(pi)
s =~ 4.4311 inches

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
I read this as " the cross section area of a
square rod equals the cross section area of a round rod"
Let +s+ = a side of the square cross section
The cross section area of the round rod is:
+A+=+pi%2Ar%5E2+
+r+=+5%2F2+ in
+A+=+pi%2A%285%2F2%29%5E2+
+A+=+%2825%2F4%29%2Api+
Now I can say:
[ area of square ] = [ area of circle ]
+s%5E2+=+%2825%2F4%29%2Api+
+s+=+%285%2F2%29%2Api+
+s+=+7.854+ in