Asked by Sarah
The measurement of the radius of a circle is 16 inches, with a possible error of .25 inches. (Use differentials to approximate the possible propagated error and the percent error.
Propagated error= 1.6%
Percent error= 4.6%
Propagated error= 1.6%
Percent error= 4.6%
Answers
Answered by
Steve
the propagated error (dC) is 2π*dr = 1.57 inches, not 1.57%
the % error (dC/C) = .25/16 = 1.57%
Since circumference is a linear function of radius, its % error cannot be greater than the % error in the radius.
the % error (dC/C) = .25/16 = 1.57%
Since circumference is a linear function of radius, its % error cannot be greater than the % error in the radius.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.