Question

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

Answer 1

Given:
Circumference of a circular park= 352 m
Width of a road = 7 m
Circumference = 2πr
352 = 2 ×( 22/7)× r
352×7 = 44r
r = (352×7)/44 = 8 × 7 = 56 m
Inner radius of the park (r) = 56 m
Outer radius of the Park including the road (R )= width + r
R = 7 + 56 = 63 m
R = 63 m
Area of the road = π(R² - r²)
= π(R+r) (R - r) [a² - b² = (a-b)(a-b)]
= 22/7 (63+56)(63-56)
= 22/7 × 119 × 7
= 22 × 119
Area of the road= 2618 m²
Hence, the Area of the road is 2618 m².

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Answer 2

I know the answer will help you very well