Question

A copper wire when bent in the form of a square encloses an area of 121 sqcm.If the same wire is bent into the form of a circle.Find the area of the circle.

Answer 1

hiii!!!

here's ur answer...

the same wire in the form of square is bent into circle, then :-

perimeter of square = circumference of circle

given area of the square = 121cm²

therefore side² = 121cm²

==> side = √121

==> side = 11cm

VERIFICATION:-

area of the square = side²

= 11 × 11

= 121cm²

hence verified

thus the side of the square is 11cm.

perimeter of the square = side × 4

= 11 × 4

= 44cm

therefore circumference of the circle is also 44cm.

==> 2πr = 44cm

==> 2 × 22/7 × r = 44cm

==> 44/7 × r = 44cm

==> r = 44/1×7/44

==> r = 7cm

VERIFICATION:-

circumference of the circle = 2πr

= 2 × 22/7 × 7

= 44cm

hence verified

thus the radius of the circle is 7cm.

now,

area of the circle = πr²

= 22/7 × 7 × 7

= 22 × 7

= 154cm²

hope this helps..!!