Ch 33: CEOE Middle Level/Intermediate Math: Circles & Arc of a Circle

About This Chapter

This chapter will contribute to your preparation for taking the Certification Examinations for Oklahoma Educators (CEOE) Middle Level/Intermediate Math test. Explore these lessons to review circles and arcs of a circle.

CEOE Middle Level/Intermediate Math: Circles & Arc of a Circle - Chapter Summary

In this chapter, the Study.com subject-matter experts have assembled a number of video presentations that will help you pass the CEOE Middle Level/Intermediate Math test. This information will aid in answering potential test questions about circles and arcs, as it refreshes about such things as:

  • Getting to know circles and circular arcs
  • Definitions of central and inscribed angles
  • Practicing measuring an arc
  • Finding an inscribed angle's measurement
  • A discussion of the tangent and its theorems
  • Tangents, chords and secants and their measurements of angles and length
  • Definition and formulas for arc length and arc measure

Our instructors use a video format, breaking the subject matter up into segments of information, with each lesson only 5-10 minutes long. They provide a quiz for testing your comprehension after the video. You'll also find tools for creating flash cards as a learning aid and submitting questions to our experts.

10 Lessons in Chapter 33: CEOE Middle Level/Intermediate Math: Circles & Arc of a Circle
Test your knowledge with a 30-question chapter practice test
Circular Arcs and Circles: Definitions and Examples

1. Circular Arcs and Circles: Definitions and Examples

What is a circle? In this lesson, find out all about the circle and its many parts, including circular arcs and semicircles. Also, discover how a locus works in creating a circle, parallel lines and more.

Central and Inscribed Angles: Definitions and Examples

2. Central and Inscribed Angles: Definitions and Examples

When we're working with circles, there are two key angles to know: central angles and inscribed angles. These angles have a few special theorems, which we'll discuss and practice using in this lesson.

Measure of an Arc: Process & Practice

3. Measure of an Arc: Process & Practice

What is the measure of an arc? And what is the difference between a minor arc and a major arc? Find out all that and practice finding the measure of an arc in this lesson.

How to Find the Measure of an Inscribed Angle

4. How to Find the Measure of an Inscribed Angle

Finding the measure of an inscribed angle requires knowing a little information. In this lesson, we'll find the measure of an inscribed angle when we know the measure of the central angle or one or more of the arcs formed by the angle.

Tangent of a Circle: Definition & Theorems

5. Tangent of a Circle: Definition & Theorems

What happens when a line just barely touches a circle? It's a tangent! In this lesson, we'll learn all about tangents to circles, including a few key theorems. We'll also look at tangent circles.

Measurements of Angles Involving Tangents, Chords & Secants

6. Measurements of Angles Involving Tangents, Chords & Secants

When lines and circles meet, angles are formed. Fortunately, we can determine the measure of these angles, whether they're formed by tangents, secants or chords, just by knowing the measure of the created arcs.

Measurements of Lengths Involving Tangents, Chords and Secants

7. Measurements of Lengths Involving Tangents, Chords and Secants

The lengths of chords, tangents and secants take on unique relationships when they're drawn on circles. In this lesson, we'll define those relationships and see them in action.

Arc Length of a Sector: Definition and Area

8. Arc Length of a Sector: Definition and Area

In this lesson, we'll slice up a circle like it's a pizza and learn how to find out useful information about our slices. We'll find out the area of these sectors, or pie slices. We'll also learn about arc lengths.

Arc Length: Definition & Equation

9. Arc Length: Definition & Equation

Arc length is an important aspect to understanding portions of curved lengths. As you will learn in this lesson, combining our knowledge of circumference and central angle measures allows us to find arc length.

Arc Measure: Definition & Formula

10. Arc Measure: Definition & Formula

Arc measure is a way of identifying an arc. In this lesson, we'll learn how to define and calculate arc measure while discussing the different elements involved in this calculation.

Chapter Practice Exam
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Practice Final Exam
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Other Chapters

Other chapters within the OSAT Middle Level/Intermediate Mathematics (CEOE) (125): Practice & Study Guide course

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