Ch 39: OAE Mathematics: Circles & Arc of a Circle

About This Chapter

Use this chapter to prepare for questions on the OAE Mathematics about the properties and theorems of circles and circular arcs. Use the resources in this chapter to reinforce your knowledge about central and inscribed angles.

OAE Mathematics: Circles & Arc of a Circle - Chapter Summary

As part of your review for the Ohio Assessments for Educators (OAE) Mathematics exam, watch the videos in this chapter to review what you need to know about circles and the arcs of a circle. These videos are taught by expert instructors who explain the components and measurements of circles and circular arcs so you are prepared to answer test questions related to:

  • Equations used to find the area and circumference of circles
  • Central and inscribed angles
  • Processes used to measure arcs
  • Theorems of tangents of a circle
  • Finding measurements of angles and lengths involving tangents
  • Finding the area of an arc length of a sector

In the event you become confused about a topic covered in this chapter, be sure to ask our instructors any questions you may have. You can also reinforce your understanding of the information presented by completing lesson quizzes or the chapter exam. If you feel you could still benefit from an alternative review of the material, try reading over the lesson transcripts that give an overview of the information in a written format.

OAE Mathematics: Circles & Arc of a Circle Chapter Objectives

The OAE Mathematics test is a teachers certification exam used in the state of Ohio to measure educators' mastery over mathematics. As a test taker, you will complete 150 multiple-choice questions in a four-hour and 15-minute testing session. Of the material you will see on this computerized exam, 19% of the questions belong to the domain of Measurements and Geometry and another 19% are part of the Trigonometry and Calculus domain. Both of these domains could include questions asking about circles and circular arcs. By completing this chapter you will gain a better understanding of the components, theorems and measurements of circles used when answering such questions.

9 Lessons in Chapter 39: OAE Mathematics: Circles & Arc of a Circle
Test your knowledge with a 30-question chapter practice test
Circles: Area and Circumference

1. Circles: Area and Circumference

Understanding how to calculate the area and circumference of circles plays a vital role in some of our everyday functions. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.

Circular Arcs and Circles: Definitions and Examples

2. 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

3. 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

4. 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

5. 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

6. 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

7. 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

8. 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

9. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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Other Chapters

Other chapters within the Ohio Assessments for Educators - Mathematics (027): Practice & Study Guide course

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