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 .
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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
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