The radius of a circular manhole cover is estimated tobe 16 in. with a maximum error in measurement of0.06 in. Use differentials to estimate the maximum errorin the calculated area of one side of the cover. What is theapproximate average error and the approximate percen-tage error?The length of a side of a square floor tile is estimated asIft with a maximum error in measurement of in. Usedifferentials to estimate the maximum error in the calcu-lated area. What is the approximate average error and theapproximate percentage error?

Due to our guidelines I am solving only first problem The radius of circular manhole r = 16 in

The radius of a circular manhole cover is estimated to be 16 in. with a maximum error in measurement of 0.06 in. Use differentials to estimate the maximum error in the calculated area of one side of the cover. What is the approximate average error and the approximate percen- tage error?

The radius of a circular manhole cover is estimated to be 16 in. with a maximum error in measurement of 0.06 in. Use differentials to estimate the maximum error in the calculated area of one side of the cover. What is the approximate average error and the approximate percen- tage error?

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter61: Areas Of Circles, Sectors, And Segments

Section: Chapter Questions

Problem 50A

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Question

The radius of a circular manhole cover is estimated to
be 16 in. with a maximum error in measurement of
0.06 in. Use differentials to estimate the maximum error
in the calculated area of one side of the cover. What is the
approximate average error and the approximate percen-
tage error?
The length of a side of a square floor tile is estimated as
Ift with a maximum error in measurement of in. Use
differentials to estimate the maximum error in the calcu-
lated area. What is the approximate average error and the
approximate percentage error?

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