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A wire bent in the form of a square encl...

A wire bent in the form of a square encloses an area of 121 sq cm. If the same wire is bent in the form of a circle, find the area it enclosed.

Text Solution

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when in square:, area=`a^2 = 121`
`a = 11cm`
perimeter of square = `11 xx 4 = 44 cm`
when in circle, area =`2 pi r = 44`
`2 xx 22/7 xx r = 44`
`r = 7cm`
area = `pi r^2 = 22/7 xx 7 xx 7`
`= 154 cm^2`
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