Question

A circular garden in surrunded by a 7m wide road , circumference of garden is 352m. Find area of the road​​

Answer 1

Answer:

Let 'r' be the radius of the circular park and R the radius of the outer circle consisting of the circular park and the road surrounding it.

Circumference of the circular park= 352m

2πr = 352m

$r \: = \frac{352 \times 7}{2 \times 22} = 56m$

Since the inner radius is 56m and the width of the road is 7m.

R = (r + 7)m = (56 +7)m = 63m

Area of the road = πR² - πr² = π(R² - r²)

$[ \frac{22}{7} ( {63}^{2} - {56}^{2} )] {m}^{2} = [ \frac{22}{7} (63 + 56)(63 - 56)] {m}^{2} \\ \\ = ( \frac{22}{7} \times 119 \times 7) {m}^{2} = 2618 {m}^{2}$

✅ hence, the area of the road is 2618m².

Hope it helps you ⛄