Q3 of 18 Page 104

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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