Question

A wire whenbent into the form of a square encloses an area of 121 sq.cm.if the wire is bent in the form of a circle , then what would be the area?

Answer 1

Area of the square = 121

s x s     = 11 x 11

so, side of the square = 11 cm.

Circumference of the circle = perimeter of the square

  2 x pi x r         =  4 x s

2 x (22/7) x r      = 4 x 11

                 r       =  (4 x 11 x 7) / 44

                 r       =  7 cm

so, Area of the circle = pi x r x r

                                  = (22/7) x 7 x 7

                                  =  22 x 7

                                  = 154 sq. cm