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The radius of a circle is given as 5cm subject to an error of 0.1cm….

The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle?

  • A.
    (frac{1}{25})
  • B.
    (frac{1}{4})
  • C.
    4
  • D.
    25
Correct Answer: Option C
Explanation

% error in Area = (frac{pi(5.1)^2 – pi(5)^2 times 100%}{pi(5)^2})
= (frac{pi 26.01 – 25 times 100%}{pi(25)})
= (frac{1.01}{25}) x 100%
= 4.04%

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