The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle?

Assessment: JAMB UTME - Mathematics - 1992 Subject: General Mathematics

Question 1 Report

\frac{1}{25}

\frac{1}{4}

Answer Details

Area = $π r^{2} = π \times 5 \times 5 = 25 π$
Area error = $π \times {0.1}^{2} = 0.01 π$
$∴$ % error = $\frac{0.01 π}{25 π} \times 10$
$= \frac{0.01}{25} \times 100 = \frac{1}{25}$

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Representation Of Data

Percentages

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Fractions, Decimals, Approximations And Percentage

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The radius of a circle is given as 5cm subject to an error of 0.1cm. What is the percentage error in the area of the circle?

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