Multiple choice

The radius of a circle is increased by 2% how much does the area of the circle increase? किसी वृत्त की त्रिज्या में 2% की वृद्धि की जाती है उस वृत्त के क्षेत्रफल में कितनी वृद्धि होगी?

  1. 2%

  2. 4.40%

  3. 4%

  4. 4.04%
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Area of circle = πr². If radius increases by 2%, new radius = 1.02r. New area = π(1.02r)² = π × 1.0404 × r² = 1.0404 × πr². The increase = 1.0404 - 1 = 0.0404 = 4.04%. Option A (2%) would be true if area scaled linearly with radius. Option C (4%) neglects the compounding effect. Option B (4.40%) is incorrect.

Keep practicing — related questions