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Diameter of the Circular Garden is 42 M. There is a 3.5 M Wide Road Around the Garden. Find the Area of the Road. - SSC (English Medium) Class 8 - Mathematics

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Question

Diameter of the circular garden is 42 m. There is a 3.5 m wide road around the garden. Find the area of the road.

Solution

Diameter of the garden(d) = 42 m
Radius, r = 21 m
Diameter of the garden including the road = 42 + 3.5 + 3.5 = 49 m
Radius of the garden with the road = 24.5 m
Area of road = 

Ar of garden with road - Ar of garden 

= πR² = πr²

= π (R² - r² )

= `22/7 ( (24.5)²  - 21² )`

= `22/7 xx (600.25 - 441)`

= `22/7 xx 159.25`

= 500.5 m²

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Solution Diameter of the Circular Garden is 42 M. There is a 3.5 M Wide Road Around the Garden. Find the Area of the Road. Concept: Perimeter and Area of a Circle.
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