A cooper wire when bent in the form of square enclose an area of 48400 cm^2. If the same wire is ben

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01 Mar 2013 area

A cooper wire when bent in the form of square enclose an area of 48400 cm^2. If the same wire is bent in the form of circle, then the area enclosed by it will be.

OPtion

1) 48400 cm^2
2) 58400 cm^2
3) 68400 cm^2
4) 49600 cm^2
5) 52400 cm^2
6) 57600 cm^2
7) 59600 cm^2
8) 62400 cm^2
9) 61600 cm^2
10)None of these

Solution

let the side of square be a
then the area of square = 48400 cm^2
therefore a^2 = 48400 cm^2
a = 220 cm
when same copper wire bents in the form of circle then
perimeter of square = perimeter of circle
4a = 2(22/7)r (Where r is the radius of circle)
r = 140
then area of circle = (22/7)140*140 = 61600 cm^2
option no 9

Correct Option: 9 Best Solution (0)