Multiple choice general knowledge math & puzzles

If the radius of the circle is increased by 6%, then the area of the circle is increased by ?

  1. 0.36 %

  2. 3.60 %

  3. 6 %

  4. 12.36 %
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

When the radius increases by 6%, the new radius becomes 1.06r. Area is proportional to the square of the radius (A = πr²), so the new area becomes π(1.06r)² = 1.1236πr². This represents a 12.36% increase over the original area. The percentage increase is calculated as (1.06² - 1) × 100 = 12.36%. This demonstrates how small percentage changes in radius compound when applied to area.

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