The diameter of a circular disk is measured as 30 cm with a maximum error in measurement of 0.2 cm. Use differentials to measure the maximum error in the calculated area of the disk. What is the relative error? What is the percentage error?

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter8: Areas Of Polygons And Circles
Section8.4: Cicumference And Area Of A Cicle
Problem 13E
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4.
The diameter of a circular disk is measured as 30 cm with a maximum error in measurement of
0.2 cm. Use differentials to measure the maximum error in the calculated area of the disk. What is
the relative error? What is the percentage error?
Transcribed Image Text:4. The diameter of a circular disk is measured as 30 cm with a maximum error in measurement of 0.2 cm. Use differentials to measure the maximum error in the calculated area of the disk. What is the relative error? What is the percentage error?
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