A circular pond of diameter 12m is surrounded by a path of width 2m.The path is paved with tiles. If It costs ₹200 per sq. m, find the cost incurred.
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Given:
Diameter of a circular pond = 12m.
Width of a circular pond = 2m.
Cost = ₹200 per sq.m.
To find:
The cost incurred.
Solution:
Area of path = Outer circle area - Inner circle area.
Outer circle area = (172/2m + 2)
⟹ 10.75m.
Outer circle area = πr²
⟹ 3.14 × (60.15)² m²
⟹ 362.86 m²
Inner circle radius = 17.5/2
⟹ 8.75m
Inner circle area = πr²
⟹ 3.14 × (8π)²
⟹ 240.40m²
Area of path = Outer - Inner area.
⟹ 362.86 - 240.40
⟹ 122.46m²
Cost incurred,
⟹ 122.46 × 25
⟹ ₹ 3061.5
The cost incurred is ₹ 3061.5.
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