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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.
Handout
CK-12 Foundation

Ck 12: Geometry: Circumference and Arc Length Study Guide

For Students 9th - 10th Standards
This study guide on circumference and arc length covers key vocabulary, the parts of a circle, and formulas for circumference, area, and arc length. It is available for download with free registration.
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...
Unit Plan
Oswego City School District

Regents Exam Prep Center: Arc Length and Radian Measure

For Students 9th - 10th Standards
The mathematics session investigates arc length and radian measure. The tutorial consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource includes an activity that discovers radian...
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.
Handout
Math Open Reference

Math Open Reference: Arc Length

For Students 9th - 10th
Explore arc lengths with this handy reference guide. Provides a detailed definition, examples, and an animation that enhances further explanation. Includes links to related topics.
Handout
Math Open Reference

Math Open Reference: Arc Length

For Students 9th - 10th
Learn about arc length with this handy reference guide. Provides a detailed definition examples, and an interactive activity that enhances further explanation. Includes links to related topics.
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
Use definite integrals to find the length of an arc. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Khan Academy

Khan Academy: Radians & 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.
Activity
University of Georgia

University of Georgia: Arcs, Central Angles, Arc Length & Sector Area

For Teachers 9th - 10th Standards
This site provides practice problems for calculating central angles and calculating arc length.
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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...
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.
eBook
CK-12 Foundation

Ck 12: Interactive Geometry: 8.9 Arc Length

For Students 9th - 10th Standards
Recall that a portion of a circle is called an arc. One way to measure an arc is with degrees.
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.
Handout
Math Open Reference

Math Open Reference: Arc

For Students 9th - 10th
Learn about arcs with this handy reference guide. Provides a detailed definition, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
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.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: G C Orbiting Satellite

For Teachers 9th - 10th Standards
A satellite is orbiting the Earth at a given height and students are asked to find the distance it travels to complete 70 percent of an orbit. This task provides a context for connecting an angle in radians to the arc length intercepted...

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