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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.
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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 = Area of garden with road − Area of garden
= πR2 = πr2
= π (R2 - r2)
= `22/7 ( (24.5)^2 - 21^2)`
= `22/7 xx (600.25 - 441)`
= `22/7 xx 159.25`
= 500.5 m2
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