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Ch 20: HiSET Mathematics: Circular Arcs and Circles

About This Chapter

Examine this chapter's video lessons to learn about circular arcs and circles for HiSET Mathematics questions. The chapter has clear and easily understood definitions and examples for multiple lesson topics.

HiSET Mathematics: Circular Arcs and Circles - Chapter Summary

This chapter gets you acquainted with the formulas for finding area and circumference of a circle along with a number of other formulas for potential HiSET Mathematics circle content. The Circular Arcs and Circles chapter includes the following additional material for your test prep:

  • What the measure of an arc is
  • Arc length of a sector
  • Tangent of a circle and tangent theorems
  • Finding the measure of an inscribed angle
  • Lengths and angles involving tangents, chords and secants

These key mathematics topics are broken down for you by our professional instructors in the fun video lessons. Go back to these lessons after your first look and use the video tags to easily navigate certain portions for extra review.

Objectives of the HiSET Mathematics: Circular Arcs and Circles Chapter

The HiSET Mathematics subtest, one of five pieces to the high school equivalency exam, evaluates your knowledge in various areas of the subject across 50 multiple-choice questions. These questions will require knowledge of how to find different measurements among other competencies. The multiple-choice questions in this chapter's self-assessment quizzes give you helpful practice for HiSET items.

9 Lessons in Chapter 20: HiSET Mathematics: Circular Arcs and 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.

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.
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