Question

A road which is 7 m wide surrounds a circular path whose circumference is 352 m . Find the area of the road.
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Answer 1

Given circumference of park = 352 m

But we know that circumference of circle = 2πr = 352 m

2 × (22/7) × r = 352

r = (352 × 7)/ 44

r = 56 m

Radius of the path including the 7 m wide road = (r + 7) = 56 + 7 = 63 m

Therefore area of the road = π × (63)2 – π × (56)2

A = 22/7 × 63 × 63 – (22/7) × 56 × 56

A = 22 (9 × 63 – 8 × 56)

A = 22 (567 – 448)

A = 2618 m2

Hope itz helpful