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.
CK-12 Foundation
Ck 12: Interactive Geometry: 8.9 Arc Length
Recall that a portion of a circle is called an arc. One way to measure an arc is with degrees.
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.
Math Open Reference
Math Open Reference: Arc
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.
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.
Illustrative Mathematics
Illustrative Mathematics: G C Orbiting Satellite
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...
Purple Math
Purplemath: Sectors, Areas, and Arcs
Explains formulas for areas of sectors of circles and lengths of arcs. Demonstrates how to use the formulas in each of degrees and radians.
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,
CK-12 Foundation
Ck 12: Geometry: Circles: Segments and Lengths Study Guide
This study guide on circles covers some vocabulary and theorems about segments and lengths. It is available for download with free registration.
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...
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.
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...
Cuemath
Cuemath: Circles
Explore everything about circles. Learn various parts of a circle like a diameter, radius, circumference, circles chord, tangent circles, major arc, segment, sector, and discover other interesting aspects of it. Try your hand at solving...
Illustrative Mathematics
Illustrative Mathematics: F Tf.1 What Exactly Is a Radian?
For this task, young scholars use a piece of string or another tool to measure the radius of the circle and then mark off the corresponding arc length on the unit circle as many times as they need to for 0, 1, 2, 3, 4, 5, and 6 radians....
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.
Analyze Math
Analyze Math: Sectors and Circles Problems
Try these three problems regarding area of sectors, length of arcs, and central angles. The problems will challenge and intrigue sharp geometry students. Detailed written solutions are included.
OpenStax
Open Stax: Rotation Angle and Angular Velocity
In the following interactive students will begin to define arc length, rotation angle, radius of curvature and angular velocity. They will also calculate the angular velocity of a car wheel spin.
Texas Education Agency
Texas Gateway: Circular Motion & Gravitation: Rotation Angle & Angular Velocity
By the end of this section, you will be able to define arc length, rotation angle, radius of curvature, and angular velocity; and to calculate the angular velocity of a car wheel spin.
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