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

Mathematics
JAMB 1992

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
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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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