Question

A steel wire when bent in the form of a square encloses an area of 169 cm
2
. If the

same wire is bent in the form of a circle, find the area of the circle.

Answer 1

Answer:

1. perimeter of square= perimeter of circle

now area of square = 169

so let the side of square be a

now, a^2= 169

so a = √169

so a= 13 cm

so perimeter of square = 4a

perimeter of square= 4×13

= 52cm now from EQ 1

we have 2πr= 52

so πr= 26

so r= 26/π cm

r= 8.28cm

now area of circle = πr^2

= 3.14×8.28×8.28

area of circle =. 215.273 cm square