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Ch 29: NMTA Essential Academic Skills Math: Circles & Arcs

About This Chapter

The NMTA Essential Academic Skills Mathematics exam has been replaced with an NES test. Watch the lesson videos and complete the assessments of this chapter to improve your abilities to solve problems with circles and arcs as you prepare for this certification exam.

NMTA Essential Academic Skills Math: Circles & Arcs - Chapter Summary

Use this chapter to review the formulas used to identify and find the properties of circles, semicircles, circular arcs and inscribed angles. Watch these short, engaging lesson videos to follow along with our professional instructors and improve your skills finding these properties. After this chapter you should be better prepared for questions regarding the:

  • Radius, diameter and circumference of a circle
  • Formula used to find the area of a circle
  • Formulas used to find the properties of semicircles
  • Properties of circular arcs and inscribed angles
  • Tangent of a circle

After watching these videos, be sure to complete the lesson quizzes and chapter exam to find out what topics you haven't mastered. Once you have found these topics, return to the lessons to fortify your understanding of them. Video tags allow you to skip over the material you've already mastered, while the lesson transcripts offer an alternative way to review the material.

NMTA Essential Academic Skills Math: Circles & Arcs Chapter Objectives

One of the exams required by the state of New Mexico for teachers seeking certification is the National Evaluation Series (NES) Essential Academic Skills Subtest III: Mathematics. This certification exam uses 45 multiple-choice questions, administered in a one-hour testing session to test future educators' mastery over essential mathematical skills. Insure you possess the essential skills of finding the properties of circles, semi-circles and arcs by completing the activities of this chapter before test day.

10 Lessons in Chapter 29: NMTA Essential Academic Skills Math: Circles & Arcs
Test your knowledge with a 30-question chapter practice test
Properties of Shapes: Circles

1. Properties of Shapes: Circles

Circles are fundamental to everything we do. But, did you know they're much more than just round shapes? In this lesson, we'll look at the various parts of circles and how they all relate.

How to Find the Radius of a Circle: Definition & Formula

2. How to Find the Radius of a Circle: Definition & Formula

In this lesson, you will discover the definition of a radius. You will also learn how to find the radius of a circle using three different formulas based on diameter, circumference, and area.

How to Find the Diameter of a Circle: Definition, Formula & Example

3. How to Find the Diameter of a Circle: Definition, Formula & Example

Learn the definition of the diameter of a circle and how to find it using a simple formula. See some examples, then test your knowledge with a short quiz.

Circles: Area and Circumference

4. 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.

Semicircle: Definition, Perimeter & Area Formulas

5. Semicircle: Definition, Perimeter & Area Formulas

In this lesson, you'll discover what a semicircle is. You'll also discover the formulas for perimeter and area that will work on every semicircle. Then, test your knowledge by taking a brief quiz.

Circular Arcs and Circles: Definitions and Examples

6. 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

7. 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

8. 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

9. 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

10. 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.

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

Other chapters within the NMTA Essential Academic Skills Subtest Math (003): Practice & Study Guide course

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