The measurement of the circumference of a circle is found to be 70 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 3%. (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 70 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 3%. (Round your answer to one decimal place.)
%
Transcribed Image Text:The measurement of the circumference of a circle is found to be 70 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 3%. (Round your answer to one decimal place.) %
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