$\"\"$

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The parametric equations are $\"\"$ , $\"\"$ and the interval is $\"\"$ .

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Arc length of the curve, when parametric equations are given is $\"\"$ .

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Consider $\"\"$ .

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Differentiate the above equation with respect to $\"\"$ .

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$\"\"$ .

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Consider $\"\"$ .

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Differentiate the above equation with respect to $\"\"$ .

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$\"\"$ .

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$\"\"$

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Arc length is $\"\"$ .

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Substitute the values $\"\"$ , $\"\"$ , $\"\"$ in above formula.

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$\"\"$

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$\"\"$

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Let $\"\"$ , then $\"\"$ .

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Evaluating boundaries :

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If $\"\"$ , then $\"\"$ .

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If $\"\"$ , then $\"\"$ .

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$\"\"$

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$\"\"$

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Arc length of the curve is $\"\"$ units.