Lesson: Area Enclosed by Parametric Curves

Mathematics

In this lesson, we will learn how to use integration to find the area under a curve defined by parametric functions.

Sample Question Videos

04:39

Worksheet

Q1:

Consider the curve defined by the parametric equations and .

Find .

Find the area under the curve when .

Now, by taking , find the total area inside the curve.

Q2:

Consider the curve defined by the parametric equations and .

Find the area under the curve where .

Q3:

Determine the area trapped between the and the curve with parametric equations and on the interval . Approximate your answer to the nearest one decimal place.

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