Question

circular wire of radius 42cm bent in the form of a rectangle whose sides are in the ratio 6:2 find the smaller side of the rectangle is

a) 25 cm

b) 30 cm

c) 36 CM

d) 60 cm

answer in proper steps

Answer 1

Circumference of circle = Perimeter of rectangle ( since it is bent from the circle)

Circumference = 2πr
=2 × 22/7 × 42
= 264cm



Now we are given The sides are in ratio of 6:2

Let them be 6x and 2x
so 2(6x + 2x ) = 264
2 × 8x = 264
8x = 264/2
8x = 132
x = 16.5

2x = 16.5 × 2
= 33cm


The correct answer should be 33