The measurement of the circumference of a circle is found to be 62 centimeters, with a possible error of 0.9 centimeter. (a) Approximate the percent error in computing the area of the circle. (Round your answer to two decimal places.) % (b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 5%. (Round your answer to one decimal place.) %

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 24A: A piece shown by the shaded portion is to be cut from a square plate 128 millimeters on a side. a....
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The measurement of the circumference of a circle is found to be 62 centimeters, with a possible error of 0.9 centimeter.
(a) Approximate the percent error in computing the area of the circle. (Round your answer to two decimal places.)
%
(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 5%. (Round your answer to one
decimal place.)
%
Transcribed Image Text:The measurement of the circumference of a circle is found to be 62 centimeters, with a possible error of 0.9 centimeter. (a) Approximate the percent error in computing the area of the circle. (Round your answer to two decimal places.) % (b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed 5%. (Round your answer to one decimal place.) %
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