$\"\"$

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Arc length :

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The length of a curve with polar equation $\"\"$ is $\"\"$ .

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The polar equation is $\"\"$ .

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

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$\"\"$

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The exact length of the polar curve is $\"\"$ .

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

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$\"\"$

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Consider $\"\"$ .

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$\"\"$

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When $\"\"$ .

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$\"\"$

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When $\"\"$ .

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$\"\"$ .

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Substitute corresponding values in L.

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$\"\"$

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The exact length of curve is $\"\"$

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$\"\"$

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The exact length of curve is $\"\"$