$\"\"$

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The circumference of the circle is $\"\"$ .

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The possible error is $\"\"$ .

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$\"\"$

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(a) Approximate the percent error in computing the area of the circle.

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The circumference of the circle is $\"\"$ .

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$\"\"$

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The area of the circle is $\"\"$ .

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Apply derivative on each side with respect to $\"\"$ .

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$\"\"$

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Percentage error in area of the square is $\"\"$ .

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Substitute $\"\"$ and $\"\"$ in above expression.

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$\"\"$

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Substitute $\"\"$ and $\"\"$ in above expression.

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$\"\"$

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The percent error in computing the area of the square is $\"\"$ .

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$\"\"$

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(b) Estimate the maximum allowable percent error in measuring the circumference if the error in computing the area cannot exceed $\"\"$ .

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$\"\"$

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$\"\"$

\

$\"\"$

\

The maximum allowable percent error in measuring the side is $\"\"$ .

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$\"\"$

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(a) The percent error in computing the area of the square is $\"\"$ .

\

(b) The maximum allowable percent error in measuring the side is $\"\"$ .