The 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.

Given that the diameter of the garden (inner circle) = 42m
Therefore, inner radius, r = 21m
Also, given that road surrounds the garden and is 3.5 m wide.
Therefore, the diameter of the road (outer circle) will be = 42+2(3.5) = 49m
And then outer radius, R = 24.5m
Now, the area of road = area of the outer circle – area of the inner circle
area of outer circle = πR2
= π(24.5)2
= 1885 sq m
area of inner circle = πr2
= π(21)2
= 1385 sq m
Hence, area of road = 1885-1385 = 500 sq m
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