Question 120

A copper wire is bent in the shape of a square of area 81cm . If the same wire is bent in the form of a semicircle, the radius (in cm) of the semicircle is

Solution

Area of square of side 'a' = 81 i.e. a = 9cm
length of this wire will be = 4a = 36cm
perimeter of square = perimeter of semi-circle
36 = πr + 2r
r = 7cm


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