Question

A ROUND WITCH IS 7 M SURROUNDS A CIRCULAR PARK WHOSE CIRCUMFERENCE IS 352 M. FIND THE AREA OF THE ROAD

Answer 1

Answer:

2618 sq .m

Step-by-step explanation:

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.

Answer 2

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