Question

A copper wire, when bent in the form of a square, enclose an area of 484 cm². if the same wire is bent in the form of a circle, find the area in In it

Answer 1

Area =484
Side=√484
Side=22
Total length of wire=88
Circumference=88=2πr
πr=44
r=14
Area =πr²
=616cm²

Answer 2

area of square=side^2
484=side^2
side=22cm
perimeter of square=circumference of circle
4×side=2πr
4×22=2×22/7×r
r=4×22×7/2×22
r=14cm
Now, area of circle=πr^2
=22/7×14×14
=22×2×14
=616cm^2