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Ch 46: GACE Middle Grades Math: Circular Arcs & Measurement

About This Chapter

Watch this chapter's online video lessons and review circular arcs and measurement so that you'll be ready for related questions on the GACE Middle Grades Math exam.

GACE Middle Grades Math: Circular Arcs & Measurement - Chapter Summary

Use this chapter's video lessons to revisit concepts related to circular arcs and measurement. The lessons will bring to mind the steps for creating geometric shapes while helping you prepare to answer related questions on the GACE Middle Grades Math examination. You'll learn more about chords, secants and inscribed polygons as well as tangent theorems and other topics you've studied before. Use this chapter for assistance in:

  • Identifying the parts of a circle
  • Measuring circular arcs and inscribed angles
  • Distinguishing between major and minor arcs
  • Understanding tangents of circles
  • Measuring the lengths and angles of secants, chords and tangents
  • Identifying and drawing inscribed and circumscribed figures, and recognizing regular and irregular polygons
  • Writing the arc length of a sector

Build upon your existing knowledge of these topics by watching this chapter's informational videos. Experienced teachers present topics on circular arcs and measurement, and experts will answer your submitted questions on the material. Maintain your current schedule and use your Web-connected device to study when it's convenient. The brief lesson quizzes are designed to ensure your understanding of circular arcs and measurement.

11 Lessons in Chapter 46: GACE Middle Grades Math: Circular Arcs & Measurement
Test your knowledge with a 30-question chapter practice test
Circular Arcs and Circles: Definitions and Examples

1. 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.

Measure of an Arc: Process & Practice

2. 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

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.

Measurements of Angles Involving Tangents, Chords & Secants

5. 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

6. 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

7. 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

8. 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.

Central and Inscribed Angles: Definitions and Examples

9. 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.

Regular Polygons: Definition & Parts

10. 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.

Arc Length of a Sector: Definition and Area

11. 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.
Not Taken

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Other Chapters

Other chapters within the GACE Middle Grades Mathematics (013): Practice & Study Guide course

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