A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area of this path?
It is given in the question that,
Diameter of flower bed = 66 m
Radius of flower bed = = 33 m
Radius of flower bed and path together = 33 + 4 = 37 m
We know that,
Area of the circle = πr2
∴ Area of flower bed and path together = 3.14 × 37 × 37
= 4298.66 m2
Area of flower bed = 3.14 × 33 × 33
= 3419.46 m2
Hence,
Area of path = Area of flower bed and path together - Area of flower bed
= 4298.66 – 3419.46
= 879.20 m2