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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.
Mathematics Archives
Math Archives: Visual Calculus: Arc Length
This site explains the arc length. The site has links to related topics and examples.
Khan Academy
Khan Academy: Radians and Arc Length
Solve problems related to radians and arc length like finding an arc length given the central angle and radius. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Lawrence Hall of Science
The Math Page: Trigonometry: Arc Length
Here is a site that clearly and thoroughly explains arc length and its relationship to radian measure of angles. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site...
Texas Instruments
Texas Instruments: Arc Length and Area of Sectors
This is an introduction to finding the arc length and area of sectors of circles. Students should have the formulas for Circumference and Area of circles.
Texas Education Agency
Texas Gateway: Determining Arc Length
Given a problem situation involving sectors of circles, the student will use proportional reasoning to solve the problem.
Khan Academy
Khan Academy: Arc Length
Relate the length of an arc to the circumference of a whole circle and the central angle subtended by the arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
CK-12 Foundation
Ck 12: Geometry: Arc Length
[Free Registration/Login may be required to access all resource tools.] In this lesson students find the length of an arc. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
Khan Academy
Khan Academy: Arc Length
A practice for students to find the length of an arc. Practice includes video instructions to give helpful hints.
CK-12 Foundation
Ck 12: Geometry: Arc Length
[Free Registration/Login may be required to access all resource tools.] This concept teaches students to find the length of an arc. Students examine guided notes, review guided practice, watch instructional videos and attempt practice...
Wolfram Research
Wolfram Math World: Arc Length
This site from Mathworld.com defines arc length and provides formulas to find arc length in cartesian and polar coordinates, and in three dimensions.
Alabama Learning Exchange
Alex: Arc Lengths and Sector Areas
Students will work in cooperative groups to discover the relationships between arc length, central angle measure, and circumference. They will also discover the relationship between circle area, central angle measures, and sector area....
CK-12 Foundation
Ck 12: Arc Length
[Free Registration/Login Required] Students use circumference to determine the arc length. Click challenge me to answer practice questions and click learn more to watch a video.
University of Georgia
University of Georgia: Segment and Arc Length
This site gives a short explanation about the segment and arc length
Math Words
Math Words: Arc Measurements
This site offers the formula and an example of finding the length of an arc. The site also supplies a picture of what an arc is in a circle with links to related words.
Math Graphs
Houghton Mifflin: Math Graphs: Arc Length [Pdf]
The problem investigates arc length. The practice exercise has students label and interpret graphs. The handout is available in PDF format.
University of Saskatchewan (Canada)
Finding Arc Length and Central Angle Exercises
This site provides two geometry problems involving circles. One problem has the reader find the arc length given the angle and radius, the other problem has the reader find the measure of the angle given the arc length and radius....
Geometry Help
Geometry Help: Arcs, Angles, and Sectors
Explains the basic concept of arcs, angles, and sectors with step-by-step instructions and methods for solving specific problems on your own relating to this topic.
Paul Dawkins
Paul's Online Notes: Calculus Ii: Parametric Equations and Polar Coordinates
The resource examines parametric equations and polar coordinates. Topics investigated are parametric curves, area with parametric equations, arc length with polar coordinates, and surface area with polar coordinates. Class notes,...
CK-12 Foundation
Ck 12: Trigonometry: Length of an Arc
[Free Registration/Login may be required to access all resource tools.] Definition and measurement of an arc on a circle,
Texas Instruments
Texas Instruments: Math Today Coming Clean About Showering Time
In this activity using the USA TODAY Snapshot, "Coming clean about showering time," students will find the measures of central angles and arcs of a circle. They will use circumference, radius, concentric circles and degrees in a circle...
Paul Dawkins
Paul's Online Notes: Calculus Ii: Applications of Integrals
The resource examines applications of integration. Topics investigated are arc length, surface area, center of mass, hydrostatic pressure, and probability density functions. Class notes, definitions, and examples with detailed solutions...
Math2
Math2: Circles
This site has many useful formulas and examples relating to circles, including related definitions, circumference of a circle, area of a circle, length of a circular arc, area of a circular sector, equation of a circle in cartesian...
Interactive Mathematics
Interactive Mathematics: Applications of Radian Measure
After demonstrating how to find arc length and sector area using radian measures, student can practice the concepts with the examples provided and play an interactive game involving angular velocity.
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