a circular garden is surrounded by a 7 meter wide road . circumference of the garden is 352 meter find the area of road
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Step-by-step explanation:
Let r be the radius from centre O to the circumference of garden and R be the radius from centre O to the the circumference of road.
It is given that 2πr=352m
=>πr=176
=>22/7r=176
=>r=176×7/22
=>r=8×7
=>r=56cm
R=56+7cm
R=63cm
Now area of road = π(R²-r²)
=>22/7(63²-56²)
=>22/7(63+56)(63-56)
=>22/7(119)(7)
=>22×17×7
=>2618m²
Hence, 2618m² is the area of road.
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