Question

A wire in the form of a rectangle 18.7 cm long and 14.3 cm wide is reshaped and bent into the form of a circle. Find the radius of the circle

Answer 1

Hi ,

1 ) dimensions of the rectangular wire

length = l = 18.7 cm

breadth = b = 14.3 cm

2 ) Let the radius of the circle = r cm

according to the problem given,

circumference of the circular wire = perimeter

of the rectangular wire

2πr = 2 ( l + b )

π r = l + b

( 22/7 )r = 18.7 + 14.3

r = 33 × ( 7 / 22 )

r = ( 3 × 7 ) / 2

r = 21 / 2

r = 10.5 cm

Therefore ,

radius of the circle = r = 10.5 cm

I hope this helps you.

:)