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Arc length of a curve in polar coordinates


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Example- Arc length of a curve - in Polar coordinates


Find the length of the cardioid with equation [Equation goes here - download the original to see it.] Solution We visualise the cardioid by the usual technique of evaluating points and sketching [Table goes here - download the original to see it.] This gives us the cardioid:- [Diagram goes here - download the original to see it.] We are finding the line length as the angle sweeps out from 0 to . [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.] [Equation goes here - download the original to see it.]
Contents of
Arc length of a curve in polar coordinates

1 Arc length of a curve - in Polar coordinates
2 Example- Arc length of a curve - in Polar coordinates
3 Arc length of a curve - Parametric form

Related articles: (1) Arc length of a curve in parametric form, (2) Intrinsic coordinates