Question

A circular park of diameter 16 m has a path of width 2 m running around inside of its boundary. Calculate the cost of paving the path at the rate of 25 per sq. m.​

Answer 1

Answer:

2514.25 /-

Step-by-step explanation:

Given

diameter of the circular park = 16 m

radius = 8 m

Path of width 2 m inside the boundary = 8-2= 6 m

Now,

Area of path = Area of outer boundary-area of inner boundary

=πr²-πr²

=22/7x6² - 22/7x2²

=22/7x36 - 22/7x4

=792/7 - 88/7

=113.14 - 12.57

=100.57 m²

Cost of paving the path at the rate of 25 rs per sq.m = 25

Cost of paving 100.57 m² at the rate of 25 rs per sq.m = 25x100.57

=2514.25 rs