Question

A copper wire when bent in the form of square encloses an area of 121×121cm.If the same wire when bent in the form of circle,find the area of the circle.

Answer 1

(side)^2=Area of sq.=121×121
》side=121
》length of wire=perimeter=4×side
》length of wire=(22)^2
When bent in the form of a circle,
》Circumference= length of wire
》2pi(r)=22^2
》r= (22^2)/2pi
》r^2=(22^4)/(4(pi^2))
》pi(r^2)= (11^4×2^4)/4pi
》area of circle= 121×154.