Question

33. A circular plot of land is of
radius 49 m. A path 3.5 m
wide needs to be paved around
this plot. Find the cost of
paving this path at the rate
of 30 per sq. m.
​

Answer 1

Answer:

First the total circle area of radius 49 m is

= 22/7 × 49 × 495

= 7546 sq.m

Next, the circle without the path with radius 49 - 3.5 = 45.5

= 22/7 × 45.5 × 45.5

= 6506.5 sq.m

Area of path = Big circle area - small circle area

= 7546 - 6506.5

= 1039.5 sq.m

Cost of paving the path = 1039.5 × 30

= Rs. 31,185

Therefore, Rs 31185 is needed to pave the path

HOPE THIS HELPS YOU........