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%