If the diameter of a circle increases by 50 percent, by what percent will the area of the circle increase?
- 100%
- 115%
- 125%
- None of these
Explanation
Old diameter = D
New diameter = D + 50% of D = 1.5 D
So new radius = 1.5 r
Area = pi _ r^2
Old area = pi _ r^2
New area = pi _ (1.5 r)^2 = pi _ 2.25 _ r^2 = 2.25 _ old area
Increase = 2.25 - 1 = 1.25 = 125%
Last verified on 07-10-2026
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