Curated OER
Worksheet 14
In this math worksheet, students analyze a path around a circle. The interval is defined. Students sketch a graph of a given parametric curve. Five application problems give students practice using these concepts in real life situations.
![Parametric Equation Arc Length [Pdf] Unknown Type](https://d15y2dacu3jp90.cloudfront.net/images/attachment_defaults/resource/large/FPO-knovation.png "Parametric Equation Arc Length [Pdf] Unknown Type")
Northwestern University
Parametric Equation Arc Length [Pdf]
This site does a good job of clearly describing how we find the arc length of a parametric curve. The site works an example and gives the general formula for finding the arc length of a smooth parametric curve.
Other
Old Dominion University: Calculus Animations W Mathcad
Explanations and animations of limits, slopes, derivatives, arc length, infinite series, conic sections, cycloids, parametric curves, polar curves, quadric surfaces, and more.
Other
Xtsunxet: Superficies Regladas (Cilindricas) Sobre Curvas Planas
Visualize 63 different ruled surfaces constructed on some famous planar curves. It has the description of each curve, the planar graph of the curve and an animation of each of the surface.
Wolfram Research
Wolfram Math World: Parametric Equations
Read a short explanation of parametric equations and how they differ from other kinds. Also provides a diagram and a bibliography.
Other
Universite Nice: Parametric Points
This site allows the student to input the curves and the curve will be plotted.
Other
Parametric Curves Applet
This website contains an applet that will plot the parametric curve on a graph after the student inputs the numbers.