Question

A circular park, 42 m in diameter, has a path 3.5 m wide running around it on the outside. Find the cost of gravelling the path at Rs. 4 per $m^2$.

• A. $Rs.2002$
• B. $Rs.1652$
• C. $Rs.1672$
• D. $Rs.2048$

Answer 1

Answer: (A)

$Rs.2002$

Internal Radius = 21 m, External Radius $=21+3.5=24.5$ m
Area of path = $\pi (24.5{)}^2-\pi (21{)}^2$
$\Rightarrow \pi \left[\right(24.5{)}^2-\left(21{)}^2\right]$
$=500.5$
Cost of travelling $=500.5\times 4=Rs.2002$