Multiple choice

If the diameter of a circle is increased by 8%, then its area is increased by : यदि किसी वृत्त का व्यास 8% बढ़ा दिया जाए, तो क्षेत्रफल में कितनी वृद्धि होगी?

  1. 16.64%

  2. 6.64%

  3. 16%

  4. 16.46%
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A Correct answer
Explanation

Area ∝ (diameter)². If diameter increases by 8%, new diameter = 1.08d. New area = π(1.08d)²/4 = 1.1664 × πd²/4. Increase = 16.64%. Option C (16%) ignores the compounding effect of percentage increase.

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