Question

A truck is in the form of ring whose inner cirumference is 132m and outer
circumference is 176m .find the width of track

Answer 1

Answer:

Step-by-step explanation:

let inner radius be r and outer radius be R

therefore, inner circumference=2πr

but inner circumference=132m

132 = 2πr

132 = 2*22/7*r

132*7/22*2=r

21 = r

similarly

176 = 2πR

176 = 2*22/7*R

176*7/22*2 = R

28 =R

therefore, width = R-r

= 28m - 21m

= 7m

Answer 2

Solutions :-

Let the outer radius be R

Find the outer radius :-

Circumference = 2πR
=> 176 = 2 × 22/7 × R
=> R = (176 × 7 × 2)/22 = 28

Let the inner radius be r

Find the inner radius :-

Circumference = 2πr
=> 132 = 2 × 22/7 × r
=> r = (2 × 132 × 7)/22 = 21

Now,
Find the width of track :-

Width of track = Outer radius - Inner radius
= (28 - 21) m
= 7 m

Hence,
Width of track = 7 m