Question

a circular park of a radius 12 meters has a road 4 meters wide running round it.find the cost of metalling the road at the rate of rs 600 per sq.meter

Answer 1

Dear Student,

◆ Answer -

Cost of metalling = Rs 211200

● Explanation -

# Given -

r = 12 m

w = 4 m

R = 12+4 = 16 m

# Solution -

Area of road around park is -

Area of road = πR^2 - πr^2

Area of road = π (R^2 - r^2)

Area of road = 22/7 (16^2 - 12^2)

Area of road = 22/7 (256 - 144)

Area of road = 22/7 × 112

Area of road = 22 × 16

Area of road = 352 m^2

Cost of metalling the road is -

Cost of metalling = 352 × 600

Cost of metalling = Rs 211200

Hence, cost of metalling is 211200 sq.m.

Thanks dear. Hope this helps you...