Question

A circular park of radius 15m has a road 2m wide all around inside it. Find the area of the road

Answer 1

Given :-

• Radius of the park, r = 15 m
• Width of the road = 2 m
• Radius of the park with the road, R = 15 + 2 = 17 m

To Find :-

The area of the road.

Solution :-

◘ Area of the park = πr²

⇒Area of the park = 22/7 × (15)²

⇒Area of the park =(22 × 225)/7

⇒Area of the park = 707.14 m²

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◘ Area of the park with the road = πR²

⇒Area of the park with the road = 22/7 × (17)²

⇒Area of the park with the road = (22 × 289)/7

⇒Area of the park with the road = 908.28 m²

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Area of the road = Area of the park with the road - Area of the park

⇒Area of the road = 908.28 - 707.14

⇒Area of the road = 201.14 m²