The radius of a circular disk is given as 22 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm²) in the calculated area of the disk. (Round your answer to two decimal places.) 27.65 cm² (b) What is the relative error? (Round your answer to four decimal places.) X What is the percentage error? (Round your answer to two decimal places.) X %

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The radius of a circular disk is given as 22 cm with a maximum error in measurement of 0.2 cm.
(a) Use differentials to estimate the maximum error (in cm²) in the calculated area of the disk. (Round your answer to two decimal places.)
27.65
cm²
(b) What is the relative error? (Round your answer to four decimal places.)
X
What is the percentage error? (Round your answer to two decimal places.)
X %
Transcribed Image Text:The radius of a circular disk is given as 22 cm with a maximum error in measurement of 0.2 cm. (a) Use differentials to estimate the maximum error (in cm²) in the calculated area of the disk. (Round your answer to two decimal places.) 27.65 cm² (b) What is the relative error? (Round your answer to four decimal places.) X What is the percentage error? (Round your answer to two decimal places.) X %
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