Question

a circular flower bed is surround by a path 5 m wide . the diameter of flower bed is 75 m . what is the area of path .​

Answer 1

Answer:

400m²

Step-by-step explanation:

Length of the path = 5m (Given)

Diameter of the flower bed = 75m (Given)

Thus, radius of circular flower bed = diameter/2 (D/2)

= 75/2

= 37.5m

Area of the circular bed = π × (37.5)² = 1406.25π m²

Radius of circular bed + the length of the path = 37.5 + 5 = 42.5 m

Area of circular bed + path = π × (42.5)² = 1806.25π m²

Therefore,

Area of path = Area of (circular bed + path) + area of circular bed = 1806.25π - 1406.25π = 400 m²

Thus, the area of the path is = 400m²