Discussion :: Area
- The diameter of a circle is increased by 100%. What is the percentage increase in area?
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Answer : Option D
Explanation :
Let the diameter = d
Original area = π * (d/2) 2 = π d2/4
New Area = π * (2d/2) 2
= π (2d/2) (2d/2)
= π d2
Increase in area = (π d2 - π d2/4) = 3 π d2 / 4
Percentage increase = (increase in area/ original area) * 100
= (3 π d2 / 4) * (4/ π d2) * 100
= 300 %
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