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AP EAMCET2007MathematicsApplication of Derivatives

The circumference of a circle is measured as 56 ~cm with an error 0.02 ~cm . The percentage error in its area is

Options

  1. A1 / 7
  2. B1 / 28
  3. C1 / 14
  4. D1 / 56

Correct answer

C. 1 / 14

Step-by-step solution

Given circumference of a circle S=2 r=56 array ll & r= 28 Error & S=2 r=0.02 & r= 0.02 2 array Area of circle, A= r^2 Percentage error in aligned A & = A A 100 & =2 r r 100 & =2 0.02 2 28 100 & = 1 14 aligned

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