imo class 12 application of derivatives

The rate of change of the area of a circle with respect to its radius when the radius is 5 cm is:

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The rate of change of the area of a circle with respect to its radius when the radius is 5 cm is:

  • A. 10π cm²/cm
  • B. 5π cm²/cm
  • C. 25π cm²/cm
  • D. 2π cm²/cm

Answer: A) 10π cm²/cm

Explanation: Area A = πr². dA/dr = 2πr. At r = 5, dA/dr = 10π cm²/cm.

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