The radius of a circle is given as 5cm subject ... - JAMB Mathematics 1992 Question
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 option: c
% error in Area = \(\frac{\pi(5.01) - \pi(5)^2 \times 100%}{\pi(5)^2}\)
= \(\frac{\pi 26.01 - 25 \times 100%}{\pi(25)}\)
= \(\frac{0.01}{25}\) x 1004
= 4.04
= \(\frac{\pi 26.01 - 25 \times 100%}{\pi(25)}\)
= \(\frac{0.01}{25}\) x 1004
= 4.04
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