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
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
% 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%
Source: Myschool Past Questions Archive (Record #31292)