Question

The diameter of a circular park is 75 m. A 3.5 m wide road runs on the inside around it. Find the cost of constructing the road at ₹200 per square metre.

Answer 1

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Answer 2

Given :

Diameter of circular park = 75 m

Radius of circular park (r) = 37.5 m

data given that a 3.5 m wide path runs around it from 'inside'. Therefore, the Radius of the bigger circle will be

R = 37.5 - 3.5

R = 34

→ Area of bigger circle = πr²

= 22/7 × (37.5)²

= 22 × 37.5 × 37.5 / 7

= 30937.5 /7

= 4419.64 m²

→ Area of smaller circle = πR²

= 22/7 × (34)²

= 22× 34 × 34 / 7

= 25432 / 7

= 3633.14 m²

So the area of path,,

= area of bigger circle + area of smaller circle

= 4419.64 - 3633.14

= 786.5 m²

the total cost ,,

= 786.5 × 200

= 157300 Rs

TOTEL COST = 157,300 Rs .