22. The radius of a circular disk is given as 24 cm with a maximum error in measurementof 0.2 cm.a. Use differentials to estimate the maximum error in the calculated area of the disk.b. What is the relative error? What is the percentage error?

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Answered: 22. The radius of a circular disk is…

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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22. The radius of a circular disk is given as 24 cm with a maximum error in measurement of 0.2 cm. a. Use differentials to estimate the maximum error in the calculated area of the disk. b. What is the relative error? What is the percentage error?