Handout
Purple Math

Purplemath: Sectors, Areas, and Arcs

For Students 6th - 8th Standards
Explains formulas for areas of sectors of circles and lengths of arcs. Demonstrates how to use the formulas in each of degrees and radians.
Activity
Analyze Math

Analyze Math: Sectors and Circles Problems

For Students 9th - 10th Standards
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.
Activity
Varsity Tutors

Varsity Tutors: Hotmath: Graphing Calculator Practice Problems: Circles

For Students 9th - 10th
Practice using your graphing calculator for drawing circles and for finding measurements for circles and parts of the circle. If you get stumped or if you would like to check your work, then select the View Solution button, which is...
Handout
CK-12 Foundation

Ck 12: Geometry: Circles: Segments and Lengths Study Guide

For Students 9th - 10th Standards
This study guide on circles covers some vocabulary and theorems about segments and lengths. It is available for download with free registration.
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...
Activity
Math Open Reference

Math Open Reference: Constructions

For Students 9th - 10th Standards
Learn about drawing shapes using only a compass and straight edge or ruler with out measuring any lengths or angles.
Activity
Lawrence Hall of Science

The Math Page: Trigonometry: Radian Measure

For Students 9th - 10th Standards
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.
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....
Unit Plan
Khan Academy

Khan Academy: Challenge Problems: Inscribed Shapes

For Students 9th - 10th Standards
Solve three challenging problems that apply properties of inscribed shapes to find an arc length or a missing angle.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Tf.1 What Exactly Is a Radian?

For Teachers 9th - 10th Standards
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...
Handout
Math Open Reference

Math Open Reference: Sector

For Students 9th - 10th
Learn about sectors with this handy reference guide. Provides a detailed definition and an interactive activity that enhances further explanation. Includes links to related topics.