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Arc Length of Polar Curves | Calculus 2 Lesson 51 - JK Math
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How to Find Arc Length of Polar Curves (Calculus 2 Lesson 51)
In this video we learn how to calculate the arc length of polar curves. We start by showing where the formula for arc length in polar form comes from by using the arc length formula for parametric curves. Then we use the resulting formula in a couple examples of finding arc length of polar curves in the polar coordinate system and explain each step along the way.
⬇️ 📝 Download My Free Blank Polar Graphs Here:
This video series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!
Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 Review of Arc Length in Parametric Form
1:51 Finding Formula for Arc Length in Polar Form
18:15 Arc Length In Polar Form (Formula)
18:52 Example: r=8, [0,2π]
22:10 Example: r=7sinθ, [0,π/2]
26:03 Example: r=1+cosθ, [0,2π]
39:25 Outro
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
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Find me on social media:
Instagram: @jk_mathematics
Found this video to be helpful? Consider giving this video a like and subscribing to the channel!
Thanks for watching! Any questions? Feedback? Leave a comment!
-Josh from JK Math
#calculus
Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
In this video we learn how to calculate the arc length of polar curves. We start by showing where the formula for arc length in polar form comes from by using the arc length formula for parametric curves. Then we use the resulting formula in a couple examples of finding arc length of polar curves in the polar coordinate system and explain each step along the way.
⬇️ 📝 Download My Free Blank Polar Graphs Here:
This video series is designed to help students understand the concepts of Calculus 2 at a grounded level. No long, boring, and unnecessary explanations, just what you need to know at a reasonable and digestible pace, with the goal of each video being shorter than the average school lecture!
Calculus 2 requires a solid understanding of calculus 1, precalculus, and algebra concepts and techniques. This includes limits, differentiation, basic integration, factoring, equation manipulation, trigonometric functions, logarithms, graphing, and much more. If you are not familiar with these prerequisite topics, be sure to learn them first!
Video Chapters:
0:00 Review of Arc Length in Parametric Form
1:51 Finding Formula for Arc Length in Polar Form
18:15 Arc Length In Polar Form (Formula)
18:52 Example: r=8, [0,2π]
22:10 Example: r=7sinθ, [0,π/2]
26:03 Example: r=1+cosθ, [0,2π]
39:25 Outro
⚡️Math Products I Recommend⚡️
⚡️Textbooks I Use⚡️
⚡️My Recording Equipment⚡️
(Commissions earned on qualifying purchases)
Find me on social media:
Instagram: @jk_mathematics
Found this video to be helpful? Consider giving this video a like and subscribing to the channel!
Thanks for watching! Any questions? Feedback? Leave a comment!
-Josh from JK Math
#calculus
Disclaimer: Please note that some of the links associated with the videos on my channel may generate affiliate commissions on my behalf. As an amazon associate, I earn from qualifying purchases that you may make through such affiliate links.
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