Question

A circular park of radio 12 metres has a road 4 metres wide running around it. Find the cost of metalling the road at the rate of Rs 600 sq metre. 22/7

Answer 1

Step-by-step explanation:

to find the area of circular road we need to subtract area of smaller circular from the larger circular portion

area of circular garden has to be deducted from the area of circular garden with road

we get a ring shaped road

with outer radius = 16m

inner radius = 12m

area of ring =

$= \pi( {(r1)}^{2} - {(r)}^{2} ) \\ = \frac{22}{7} ( {16}^{2} - {12}^{2} ) \\ = \frac{22}{7} (256 - 144) \\ = \frac{22}{7} \times 112 \\ = 22 \times 16 \\ = 352sqm$

cost of metalling the road Rs. 600/m

total cost of metalling

= 352 × 600

= 211600

therefore the cost of metalling = Rs. 2,11,600

hope you get your answer