# Lesson Worksheet: Arc Length of Parametric Curves Mathematics • Higher Education

In this worksheet, we will practice using integration to find the arc length of a parametrically defined curve.

Q1:

Find the length of the curve with parametric equations and , where .

Q2:

Express the length of the curve with parametric equations and , where , as an integral.

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Q3:

Find the length of the curve with parametric equations and , where .

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Q4:

Find the length of the curve with parametric equations and , where .

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Q5:

Express the length of the curve with parametric equations and , where , as an integral.

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Q6:

Find the length of the curve with parametric equations and , where .

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Q7:

Express the length of the curve with parametric equations and , where , as an integral.

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Q8:

The position of a particle at time is . Find the distance the particle travels between and .

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Q9:

Find the length of the curve with parametric equations and , where .

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Q10:

Find the length of the curve with parametric equations and , where .

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This lesson includes 6 additional questions for subscribers.