The error in measuring the radius of a 5 cm circular rod was 0.2%. If the cross-sectional area of the rod was calculated using this measurement, then the resulting absolute percentage error in the computed area is (round off to two decimal places)

The error in measuring the radius of a 5 cm circular rod was 0.2%. If the cross-sectional area of the rod was calculated using this measurement, then the resulting absolute percentage error in the computed area is (round off to two decimal places)

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Area Computations

The area is the mathematical estimation of the inner space occupied by any shape or object and area computation is the evaluation of how much inner space that particular shape or object has utilized. Simple applications include calculating the area of wall for the quantity of paint or plaster to be applied on it, area calculations for construction of a trapezoidal dam and how much material is required, calculating the area of a circle to determine the range or distance of wheels that they are capable of covering due to varied radii and so on.

Question

The error in measuring the radius of
a 5 cm circular rod was 0.2%. If the
cross-sectional area of the rod was
calculated using this measurement, then
the resulting absolute percentage error
in the computed area is.
(round off to two decimal places)

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