Copyright

Ch 39: NES Math: Circles & Arc of a Circle

About This Chapter

Watch our lessons and take the included quizzes to renew your understanding of circles, circular arcs and inscribed angles, and to rediscover ways of measuring them. The study aids found in this chapter can help you with this topic on the NES Math test.

NES Math: Circles & Arc of a Circle - Chapter Summary

Use this chapter's lessons to refresh your knowledge of circles and measurements involving them. You can prepare for NES Math questions on:

  • The area and circumference of circles
  • Circular arcs
  • Central and inscribed angles
  • How to measure an arc and an inscribed angle
  • Theorems regarding the tangent of a circle
  • Measurements of angles and lengths involving tangents, chords and secants
  • Arc length of a sector

Our instructors infuse these short video lessons with humor and lots of examples to make them informative and entertaining. You can watch from anywhere, as long as you have an Internet connection, via smartphone, tablet or computer. After each lesson, a quiz lets you assess your learning, and the answer key includes a link that lets you jump to the section of the video lesson explains the correct answer for any question answered incorrectly.

NES Math: Circles & Arc of a Circle Chapter Objectives

Arizona, New Mexico, Oregon, Washington and Wisconsin require passing the NES Math test as one of the conditions for obtaining certification to teach secondary-level mathematics. Like our lesson quizzes, the test consists entirely of multiple-choice questions, so taking our quizzes will give you a good idea of what you'll encounter on exam day.

The questions are divided into five content domains, and questions based on the material in this chapter are in the Measurement and Geometry content domain, which makes up 19% of the test's total content.

9 Lessons in Chapter 39: NES Math: 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.
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 160 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 NES Mathematics (304): Practice & Study Guide course

Support