Assessment
Northwestern University

Parametric Equation Arc Length [Pdf]

For Students 9th - 10th
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.
Activity
Mathematics Archives

Math Archives: Visual Calculus: Arc Length

For Students 9th - 10th
This site explains the arc length. The site has links to related topics and examples.
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Khan Academy

Khan Academy: Radians and Arc Length

For Students 9th - 10th Standards
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.
Activity
Lawrence Hall of Science

The Math Page: Trigonometry: Arc Length

For Students 9th - 10th Standards
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...
Activity
Texas Instruments

Texas Instruments: Arc Length and Area of Sectors

For Teachers 9th - 10th Standards
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.
Unit Plan
Texas Education Agency

Texas Gateway: Determining Arc Length

For Students 9th - 10th
Given a problem situation involving sectors of circles, the student will use proportional reasoning to solve the problem.
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Khan Academy

Khan Academy: Arc Length

For Students 9th - 10th Standards
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.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Arc Length

For Students 9th - 10th
[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.
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Khan Academy

Khan Academy: Arc Length

For Students 9th - 10th
A practice for students to find the length of an arc. Practice includes video instructions to give helpful hints.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Arc Length

For Students 9th - 10th Standards
[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...
Handout
Wolfram Research

Wolfram Math World: Arc Length

For Students 9th - 10th
This site from Mathworld.com defines arc length and provides formulas to find arc length in cartesian and polar coordinates, and in three dimensions.
Lesson Plan
Alabama Learning Exchange

Alex: Arc Lengths and Sector Areas

For Teachers 9th - 10th Standards
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....
Activity
CK-12 Foundation

Ck 12: Arc Length

For Students 9th - 10th Standards
[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.
Activity
University of Georgia

University of Georgia: Segment and Arc Length

For Students 9th - 10th
This site gives a short explanation about the segment and arc length
Activity
Math Words

Math Words: Arc Measurements

For Students 9th - 10th Standards
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.
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Math Graphs

Houghton Mifflin: Math Graphs: Arc Length [Pdf]

For Students 9th - 10th
The problem investigates arc length. The practice exercise has students label and interpret graphs. The handout is available in PDF format.
Activity
University of Saskatchewan (Canada)

Finding Arc Length and Central Angle Exercises

For Students 9th - 10th Standards
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....
Handout
Geometry Help

Geometry Help: Arcs, Angles, and Sectors

For Students 9th - 10th Standards
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.
Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Parametric Equations and Polar Coordinates

For Students 9th - 10th
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,...
Unit Plan
CK-12 Foundation

Ck 12: Trigonometry: Length of an Arc

For Students 10th - 12th
[Free Registration/Login may be required to access all resource tools.] Definition and measurement of an arc on a circle,
Activity
Texas Instruments

Texas Instruments: Math Today Coming Clean About Showering Time

For Teachers 9th - 10th
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...
Handout
Paul Dawkins

Paul's Online Notes: Calculus Ii: Applications of Integrals

For Students 9th - 10th
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...
Graphic
Math2

Math2: Circles

For Students 9th - 10th Standards
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...
Activity
Interactive Mathematics

Interactive Mathematics: Applications of Radian Measure

For Students 9th - 10th Standards
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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