radius of a circle is 1 unit. if the diameter is increased by 100%, its area is increased by what percentage?
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Answer:
Initial radius = 1 unit
Initial diameter = 2 × 1 = 2 units
Initial area = pi × 1^2 = Pi units
Final diameter = 100% of 2 + 2 = 4 units
Final radius = 4/2 = 2 units
Final area = pi × 2^2 = 4pi
Therefore,
change in area = (4pi -pi)/pi × 100 = 300%
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