Question

A square of 55cm side made from a wire. calculate the diameter of the circle which will be made from the same length of wire as that of square. ​

Answer 1

Step-by-step explanation:

Given that side of the square is 22 cm

Perimeter of the square =4a

=4×22

=88 cm

As the same wire is used to form a circle then both will have same perimeter.

Perimeter of circle = Perimeter of square

⇒2πr=88

⇒2×

7

22

r=88

⇒r=

22×2

88×7

⇒r=14 cm

Hence radius of the circle is 14 cm.

then,

Area of the circle =πr

2

=

7

22

×14×14

=616 cm

2