A circular garden having a diameter of 10 m is surrounded by a concrete path 2 m wide. Calculate the percentage increase in area resulting from the addition of the path.
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Correct answer: C
Explanation
The correct answer is option 3 i.e. 96%
Radius of garden = 10/2 = 5 m
Radius including path = 5 + 2 = 7 m
Area of garden = π × 52 = (22/7) × 25 = 78.57 m2
Area including path = π × 72 = (22/7) × 49 = 154 m2
Increase in area = 154 - 78.57 = 75.43 m2
Percentage increase = (75.43/78.57) × 100 ≈ 96%