Multiple choice

The radius of circle is increased by 1%. How much does the area of the circle increased ? किसी वृत्त की त्रिज्या को 1% से बढ़ाया गया वृत्त के क्षेत्रफल में % वृद्धि ज्ञात कीजिए?

  1. 1%

  2. 1.1%

  3. 2%

  4. 2.01%

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

If radius increases by 1%, new radius = 1.01r. New area = π(1.01r)² = 1.0201πr². Increase = 1.0201 - 1 = 0.0201 = 2.01%. Alternatively: % increase in area ≈ 2 × (% increase in radius) for small changes, giving approximately 2%, but exact calculation shows 2.01%.