Question

A piece of wire in the form of a rectangle mearures
52cm x 36 cm. It is cut at one place and bent in
the shape of a circle. Find the radius of this circle.
​

Answer 1

Answer:

If a piece of wire is in the rectangle

P = 2(l+b)

= 2( 52 cm + 36 cm)

= 2 × 88

= 176 cm

If a piece of wire is bent into shape of circle

Perimeter of rectangle equal to Perimeter of circle

Perimeter = 2πr

176 = 2× 22 × r

7

176 × 7 = 28 cm

22 × 2

So , radius of a circle is 28 cm