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Ch 35: TExES Physics/Math 7-12: Circular Arcs & Circles

About This Chapter

In preparation for the TExES Physics/Mathematics 7-12 teachers certification exam, complete the activities of this chapter to increase your understanding of the properties of circles and circular arcs.

TExES Physics/Math 7-12: Circular Arcs & Circles - Chapter Summary

As part of your preparation for the TExES Physics/Mathematics 7-12 exam, this series of lesson videos will review the properties of circles and circular arcs, how to construct circles and circular arcs and how to construct other forms with them. Watch our professional instructors as they prepare you for questions on:

  • Finding the area and circumference of circles
  • Identifying central and inscribed angles
  • Measuring arcs
  • Constructing tangents of circles
  • Measuring angles and lengths involving tangents, chords and secants
  • Inscribing and circumscribing figures
  • Constructing inscribed and circumscribed triangles
  • Finding the area of arc length of a sector

You can complete a short practice quiz after each lesson to confirm your understanding of the material. If at any time you are confused about a topic, please send your questions to our instructors for clarification so that you may be prepared for the TExES Physics/Mathematics 7-12 exam.

12 Lessons in Chapter 35: TExES Physics/Math 7-12: 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.

How to Construct a Tangent of a Circle

7. How to Construct a Tangent of a Circle

It's pretty amazing what you can draw with just a straight edge and a compass! In this lesson, you'll learn how you can draw tangents of a circle, whether you are given a point on the circle or outside of the circle and if you have two circles.

Measurements of Angles Involving Tangents, Chords & Secants

8. 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

9. 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.

Inscribed and Circumscribed Figures: Definition & Construction

10. Inscribed and Circumscribed Figures: Definition & Construction

A square and a circle may be different shapes, but they still can have a unique relationship. In this lesson, we'll learn about inscribed and circumscribed figures.

Constructing Inscribed & Circumscribed Triangles

11. Constructing Inscribed & Circumscribed Triangles

View this lesson to learn how you can construct inscribed and circumscribed triangles. Learn how both involve circles. All you need are a ruler and a compass.

Arc Length of a Sector: Definition and Area

12. 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

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Other Chapters

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