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AP EAMCET202421 May 2024Evening ShiftMathematicsApplication of DerivativesActual

If the percentage error in the radius of circle is 3 , then the percentage error in its area is

Options

  1. A6
  2. B3 2
  3. C2
  4. D4

Correct answer

A. 6

Step-by-step solution

aligned & Given d r r = 3 100 & A= r^2 d A=2 r d r & d A A = 2 r d r r^2 = 2 d r r = 6 100 d A A 100=6 % aligned

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