Multiple choice

The radius of a circle is increased by 1%. What is the increase percent in its area?

  1. 1%

  2. 1.1%

  3. 2%

  4. 2.01%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Area of circle = πr². If radius increases by 1%, new radius = 1.01r. New area = π(1.01r)² = 1.0201πr². Increase = 2.01%. Using successive percentage change formula: 1+1%+1% of 1% = 2.01%. The answer is 2.01%.

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