A road which is 7 m wide surrounds a circular park whose circumference

1.	A road which is 7 m wide surrounds a circular park whose circumference is 352 m. Find the area of road.
Answer» Given circumference of park = 352 m But we know that circumference of circle = 2πr = 352 m 2 × (22/7) × r = 352 r = (352 × 7)/ 44 r = 56 m Radius of the path including the 7 m wide road = (r + 7) = 56 + 7 = 63 m Therefore area of the road = π × (63)² – π × (56)² A = 22/7 × 63 × 63 – (22/7) × 56 × 56 A = 22 (9 × 63 – 8 × 56) A = 22 (567 – 448) A = 2618 m²

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

Answer»

Given circumference of park = 352 m

But we know that circumference of circle = 2πr = 352 m

2 × (22/7) × r = 352

r = (352 × 7)/ 44

r = 56 m

Radius of the path including the 7 m wide road = (r + 7) = 56 + 7 = 63 m

Therefore area of the road = π × (63)² – π × (56)²

A = 22/7 × 63 × 63 – (22/7) × 56 × 56

A = 22 (9 × 63 – 8 × 56)

A = 22 (567 – 448)

A = 2618 m²