Question

Q.8] Diameter of the circular garden is 14m. There is 3.5m wide road around the Garden. Find the area of the road. 14m 3.5m​

Answer 1

Diameter of the circular garden is 42 m. … [Given] ∴ Radius of the circular garden (r) = 42/2 = 21 m Width of the road = 3.5 m …[Given] Radius of the outer circle (R) = radius (r) + width of the road = 21 + 3.5 = 24.5 m Area of the road = area of outer circle – area of circular garden = πR2 – πr2 = π(R2 – r2) = (22/7) [(24.5)2 – (21)2] = (22/7) (24.5 + 21) (24.5 – 21) ...[∵ a2 - b2 = (a + b)(a - b)] = (22/7) x 45.5 x 3.5 = 22 x 45.5 x 0.5 = 500.50 sq. m ∴ The area of the road is 500.50 sq. m.Read more on Sarthaks.com - https://www.sarthaks.com/856443/diameter-of-the-circular-garden-there-is-wide-road-around-the-garden-find-the-area-the-road