Question

A wire is bent into the shape of a square enclose an area of 121 sq.Cm. If the wire is bend in the form of a circle, then find the area enclosed by the circle.

Answer 1

Area of a square=a^2

or 121=a^2

.•.a=√121

=11cm

now, perimeter of square=4a

=4×11

=44cm

now, perimeter of square=perimeter of circle

or 44=2πr

or r=44×7/2×22

or r=7 cm

so, Area of circle=πr^2

=22×7×7/7

=154 cm^2 answer