Given a cylinder with the circumference of $8$ feet $\pm 1$ inch, how could the error in the cross sectional area be found?
As per request:
Given that the area of the cross section is a circle, $A=\pi r^2$, and the circumference is just $C=2 \pi r$. In terms of the area $\pi (C/(2\pi))^2$. I am not sure what to do after that. I know I have to use differentials but I'm not sure how to relate the two.