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A road which is 7m wide surrounds a circular park whose circumference is 352m. Find the area of road.

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A road which is 7m wide surrounds a circular park whose circumference is 352m. Find the area of road.

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Outer radius of road = R

Inner radius of road = r

Width of park road = d

R = 2 + d

Circumference of road (outer) = 2πR

2πR = 352 [from problem given]

Inner radius = R – d = 56 – 7 = 49 m

Area of road = (area of circle with radius 56m) – (area of circle with radius 49m)

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