Analyze Math
Analyze Math: Central and Inscribed Angles
The interactive tutorial examines the properties of central and inscribed angles intercepting a common arc in a circle. Learners use the applet to find central and inscribed angles.
Oswego City School District
Regents Exam Prep Center: Arc Length and Radian Measure
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...
Mangahigh
Mangahigh: Shape: Circumference of a Circle
Determine the circumference of a circle or simple arc lengths.
Mangahigh
Mangahigh: Shape: Radius and Tangent Rule for Circles
Determine the rules for radius and tangents of circles.
Mangahigh
Mangahigh: Shape: Alternate Segment Rule for Circles
Use the alternate segment rule for cirlces to determine the angle measures.
Mangahigh
Mangahigh: Shape: Calculating Angles Around a Point
Determine angle measures based upon the given information.
Lawrence Hall of Science
The Math Page: Trigonometry: Radian Measure
Here is a site that clearly and thoroughly explains the radian measure of angles. There are example problems solved, problems for the student to attempt, and answers to the student problems.
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.
Khan Academy
Khan Academy: Arc Measure
Use the fact that the arc measures of a circle must sum to 360 degrees to find missing arc measures. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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.
Khan Academy
Khan Academy: Area of a Sector
Relate the area of a sector to the area of a whole circle. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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.
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.
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.
Khan Academy
Khan Academy: Arc Measure With Equations
Use the fact that the arc measures of a circle must sum to 360 degrees to find missing arc measures by setting up equations. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Analyze Math
Analyze Math: Inscribed and Central Angles in Circles
The geometry tutorial investigates the definitions and theorems related to inscribed and central angles in circles. An example with a detailed solution is included.
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...
Math Planet
Math Planet: Calculating the Circumference of a Circle
Gain an understanding of how to find the diameter of a circle by viewing an example and a video lesson. [1:01]
Illustrative Mathematics
Illustrative Mathematics: G C Orbiting Satellite
A satellite is orbiting the Earth at a given height and young scholars 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...
Illustrative Mathematics
Illustrative Mathematics: G Gpe.5 Triangles Inscribed in Circle
In this task, students use ideas about linear functions to determine when certain angles are right angles. They use the fact that two lines (if not vertical or horizontal) are perpendicular when their slopes are inverse reciprocals, as...
Illustrative Mathematics
Illustrative Mathematics: G C Mutually Tangent Circles
Three circles are mutually tangent. Students are asked to find the total area of the circles plus the area inside where they meet. Students will need to know how to calculate the area of a circle, a sector of a circle, and an equilateral...
Illustrative Mathematics
Illustrative Mathematics: F Tf.1 What Exactly Is a Radian?
For this task, students 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. They...
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...
Alabama Learning Exchange
Alex: Arc Lengths and Sector Areas
Learners 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....