This lesson includes 72 additional question variations for subscribers.
Lesson Worksheet: Area Enclosed by Parametric Curves Mathematics
In this worksheet, we will practice using integration to find the area under a curve defined by parametric functions.
Question 2
Consider the curve defined by the parametric equations and .
Find the area under the curve where .
Find the area under the curve where .
Question 3
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.
Question 4
Determine the area trapped between the -axis and the parametric curve defined by the equations and on the interval .
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Question 5
Determine the area inside the curve defined by the parametric equations and .
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Question 6
Find the area between the following two curves: curve 1 that is defined by the parametric equations , and curve 2 that is defined by the parametric equations , on the interval .
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Question 7
Find the area between curve 1 defined by the parametric equations , and curve 2 defined by the parametric equations , on the interval .
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Question 8
Find the area between the following curves: curve 1 that is defined by the parametric equations , ; curve 2 that is defined by the parametric equations , ; and curve 3 that is defined by the parametric equation , .
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Question 9
Consider the curve defined by the parametric equations , , . Find the area between the curve and the on the interval . Approximate your answer to three decimal places.
Question 10
Consider the curve defined by the parametric equations , . Find the area between the curve and the on the interval .
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