A circular grassy plot of land, 42 m in diameter has a path of 3.5m wide running round it on the outside. Find the cost of gravelling the path at Rs.4 per square metre.

Options

A. 2000
B. 2001
C. 2002
D. 2003

Answer

C

Explanation

Area of path= area of ring`=piR^2-pir^2`

`=pi(R-r)(R+r)`

`=22/7(24.5-21.0)(24.5+21)`

`=500.5m^2`

Cost of 1`m^2`=Rs4

cost of 500.5`m^2`=Rs 2002.