Question

A steel wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent in the form of a circle, then the circumference of the circle is​

Answer 1

Answer:

Side of the square = area=121=11 cm

Perimeter of the square = 4×side=44 cm

Therefore, length of the wire = 44 cm

We know,

Circumference of the circle = Length of the wire

Therefore, Circumference of the circle = 44 cm

Let the radius of the circle be r cm.

Then, 2πr=44

2×722×r=44

r=7 cm

Therefore, area of the circle = πr2=722×49=154 cm2.