Engineering Board Exam Reviewer · Differentials and Linear Approximation · medium

The radius of a circle is measured as 10 cm with a possible error of 0.2 cm. Estimate the maximum error in the computed area.

1. 6.28 cm2
2. 12.57 cm2
3. 25.13 cm2
4. 4 cm2

Answer

B. 12.57 cm2

Solution

A=π r2 dA=2π r,dr=2π(10)(0.2)=4π 12.57 cm2.

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