Question

To keep Paul Senior from blowing a gasket, Paul Junior must deviate from the ideal area of the disk, which is 1075 in^2, by less than +or- 5in^2. How close to the ideal radius must the Flowjet (the machine that cuts the disk) be to maintain tranquility at OCC?

Answer 1

First, you should find the radius of the disk. I would use the surface formula for a circle,
\[S=\pi R^2 \Rightarrow R=\ldots\] Once you have the radius, you can apply the propagation error formula to find the error in the radius,
\[\delta R=\frac{\delta S}{2R}\] So your final result will be \[R\pm\delta R\]