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The radius of a circle increases by 20%. By what percentage does the circumference increase?

Paper 1 · Mathematical Reasoning and Aptitude
The radius of a circle increases by 20%. By what percentage does the circumference increase?
A20% ✓ Correct
B40%
C44%
D48%
Correct answer: (A) 20% — The circumference increases by 20%, so that is the answer.
Explanation
The circumference increases by 20%, so that is the answer.
The circumference of a circle is directly proportional to its radius.
So if the radius rises by a certain percentage, the circumference rises by the same percentage.
The radius here rises by 20 per cent.
So the circumference also rises by 20 per cent.
So the circumference increases by 20%.

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