Question

A wire is in the shape of a rectangle.its length is 40cm and breadth is 22cm.if the same wire is rebent in the shape of a square and then into a circle, find:
i) the side of the square
ii)the radius of the circle.​

Answer 1

perimeter of the rectangle = 2(40 + 22) = 124

Perimeter of square = perimeter of rectangle

4 × side = 124

side = 124 / 4 = 31 cm

Circumference of circle = perimeter of rectangle

2πr = 124

$r = \frac{124}{2\pi} = \frac{124 \times 7}{2 \times 22} = 19.7$