Find Measurement of the Radius of the End of a Log

Multiple Choice

Find measurement of the radius of the end of a log is found to be 28 inches, with a possible error of $\frac { 1 } { 4 }$ inch. Use differentials to approximate the possible propagated error in computing. The area of the end of the log.

A) $\pm 4 \pi$ square inches
B) $\pm 16 \pi$ square inches
C) $\pm 14 \pi$ square inches
D) $\pm 56 \pi$ square inches
E) $\pm 8 \pi$ square inches