Ch 39: TExMaT Master Mathematics Teacher 8-12: Circular Arcs & Circles

About This Chapter

Take advantage of this chapter's video lessons and quizzes on circle tangents, chords, secants and more to prepare for geometry questions on the TExMaT Master Mathematics Teacher 8-12 exam.

TExMaT Master Mathematics Teacher 8-12: Circular Arcs & Circles - Chapter Summary

Get a comprehensive review of circle properties and the steps required to find the measures of circle arcs, inscribed angles and lengths. The following lessons can help you prepare for questions on the TExMaT Master Mathematics Teacher 8-12 exam related to:

  • Circle area and circumference
  • Central and inscribed angles
  • Major and minor arc measurements
  • Tangents, chords and secants
  • Arc length of a sector

Illustrated videos and transcripts listing key geometry terms in bold are designed to help you quickly review the circular arc and circle topics you want to brush up on. You can also take multiple-choice lesson and chapter quizzes before or after your studies to see which lessons you need to spend some more time with.

TExMaT Master Mathematics Teacher 8-12: Circular Arcs & Circles - Chapter Objectives

Texas's Master Mathematics Teacher certification for grades 8-12 is available to experienced math teachers who pass this TExMaT exam. It includes 90 multiple-choice questions and a case study assignment designed to ensure prospective master teachers have the subject area and pedagogical knowledge needed to mentor other teachers and succeed in the classroom.

The exam's geometry and measurement content domain makes up around 18% of test content. Lessons in this chapter can help you prepare for questions asking you to examine the properties of circles, secants and chords or calculate sector area and arc length, among other shapes.

8 Lessons in Chapter 39: TExMaT Master Mathematics Teacher 8-12: Circular Arcs & Circles
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.

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.

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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Other Chapters

Other chapters within the TExMaT Master Mathematics Teacher 8-12 (089): Practice & Study Guide course

Support