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Ch 48: ORELA Middle Grades Math: Circular Arcs & Measurement

About This Chapter

Review circular arcs, tangents, circumscribed figures and other topics that may be found on the ORELA Middle Grades Math exam. Use this chapter of engaging videos and multiple-choice quizzes to prepare for this Oregon teacher licensing exam.

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

The videos in this chapter are designed to help you prepare for circular arc and measurement questions on the ORELA Middle Grades Math exam. The short lessons examine the theorems, formulas and construction of:

  • Circles
  • Circular arcs
  • Inscribed angles
  • Circle tangents
  • Tangents, chords and secants
  • Inscribed and circumscribed figures and triangles
  • Polygons
  • Arc length

This chapter includes several 5-10 minute videos that include fun illustrations and examples to help you review key points. There are also transcripts that make it easy to review the related formulas and embedded video tags that make it possible to skip to specific points in the videos that need extra review. You can also check your understanding of these topics through the multiple-choice quizzes and end-of-chapter exam.

ORELA Middle Grades Math: Circular Arcs & Measurement Objectives

This chapter can help you prepare for some of the questions found in the measurement and geometry content domain area of the ORELA Middle Grades Math exam; this content area makes up about a quarter of the exam's 150 multiple-choice questions. These questions may test your ability to solve problems related to the properties of circles and calculate measurements of area, length or volume.

10 Lessons in Chapter 48: ORELA 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.

Regular Polygons: Definition & Parts

9. 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

10. 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 ORELA Middle Grades Mathematics: Practice & Study Guide course

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