Question

The side of a square garden is 150 m. A circular path of width 1.5 m is laid inside the garden touching all the sides. Find the cost of laying the path at Rs.28 per `m^(2)`.
A. Rs.19,602
B. Rs.18,786
C. Rs.17,754
D. Rs.19,888

Answer 1

Correct Answer - A

The diameter of of outer circle = 150 m
`therefore" Radius of outer circle "=(150)/(2)=75 and `
`"Radius of inner circle"=(147)/(2)=73.5`
`"Required area of the path"=pi(75+73.5)(75-73.5)`
`=(22)/(7)xx148.5xx1.5`
The cost of laying path
`=(22)/(7)xx148.5xx1.5xx28=19,602`