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The circumference of a circle and the perimeter of a square are each 50 cm. which figure has the greater area.

 May 11, 2016
 #1
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the square

 May 11, 2016
 #2
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The circle has more area:

pi x d = circumference

pi x d = 50     d= 15.91  so r= 1/2 d = 7.96cm    Area = pi r^2 = pi (7.96)^2 = 198.9 sq cm  (Circle)

 

The square has four sides   4x=50   x=side length= 50/4 = 12.5cm    Area = 12.5 x 12.5 = 165.25 sq cm (Square)

 May 11, 2016

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