Ch 28: Circles, Angles & Circular Arcs

About This Chapter

Use our informative video lessons to learn all about circles, angles and circular arcs. The short quizzes that accompany them can help you measure your progress through this chapter.

Circles, Angles and Circular Arcs - Chapter Summary and Learning Objectives

Circles are so plentiful around us that we often don't give them another thought. In this chapter, you can review measurement calculations for circles, learn the difference between major and minor arcs and find out how to construct figures inside and outside of other figures. You can also find out more about measuring angles involving secants, tangents and chords. In these lessons, you'll learn things like:

  • What's the difference between circumference and area of circles?
  • Where are inscribed and circumscribed figures located?
  • How can I measure inscribed angles?
  • When is a polygon 'regular'?
  • How do I measure angles and lengths involving chords, tangents and secants?

Video Objective
Circles: Area and Circumference Calculate the circumference and area of circles.
Inscribed and Circumscribed Figures: Definition & Construction Construct circumscribed and inscribed figures.
How to Find the Measure of an Inscribed Angle Measure inscribed angles.
Tangent of a Circle: Definition & Theorems Understand the theorems for tangents of circles.
Arc Length of a Sector: Definition and Area Measure the arc length of sectors.
Measurements of Angles Involving Tangents, Chords & Secants Measure angles having tangents, secants and chords.
Measurements of Lengths Involving Tangents, Chords and Secants Discover the lengths when chords, tangents and secants are involved.
Regular Polygons: Definition & Parts Find out what makes a polygon regular and learn about the parts of polygons.

8 Lessons in Chapter 28: Circles, Angles & Circular Arcs
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.

Inscribed and Circumscribed Figures: Definition & Construction

2. 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.

How to Find the Measure of an Inscribed Angle

3. 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

4. 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.

Arc Length of a Sector: Definition and Area

5. 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.

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.

Regular Polygons: Definition & Parts

8. Regular Polygons: Definition & Parts

What makes a polygon a polygon? And what shapes are considered polygons? In this lesson, find out the answers to these questions and more as we learn all about polygons and their parts.

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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