Question

A road whose width is 7 m surrounds a circular path whose circumference is 352 m. 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

Answer:

Step-by-step explanation:

Radius of path =r

2πr=352

r=56

Area of road =π(R+r)(R-r)

=π×(63+56)×7=2618