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[Step-by-Step] The radius of a circle is measured to be 6 ~cm with a possible error of ± .03 ~cm. Use differentials to approximate the possible error

Question: The radius of a circle is measured to be $6 \mathrm{~cm}$ with a possible error of $\pm .03 \mathrm{~cm}$.

Use differentials to approximate the possible error in calculated area of the circle if $r=6 cm$ used to calculate area. (I0 points)
Use the answer to part (A) to approximate the possible percentage error in calculated area. (4 points)

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[Step-by-Step] The radius of a circle is measured to be 6 ~cm with a possible error of ± .03 ~cm. Use differentials to approximate the possible error

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