imo class 12 application of derivatives

The radius of a circle is increasing at the rate of 1 cm/s. The rate of increase of its area when the radius is 4 cm is:

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The radius of a circle is increasing at the rate of 1 cm/s. The rate of increase of its area when the radius is 4 cm is:

  • A. 8π cm²/s
  • B. 4π cm²/s
  • C. 16π cm²/s
  • D. 2π cm²/s

Answer: A) 8π cm²/s

Explanation: A = πr². dA/dt = 2πr dr/dt = 2π × 4 × 1 = 8π.

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