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post-17394-1

Assuming that the equivalence marker was incorrectly placed, we can consider either the length or breadth of the square.

If r is the radius of the circle, then from the breadth perspective working from bottom to top,

r + r + 1/2 r + r = 14, or 7/2 r = 14 which means r = 4 cm

To check, from the length perspective, working from left to right,

r + 1/2r + r + r = 14 which works out to be the same r.

Area of circle = r2π = (4)2π = 16π cm2

 

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