Ch 39: PLACE Mathematics: Circular Arcs & Circles

About This Chapter

Review for questions related to circular arcs and circles on the Program for Licensing Assessments for Colorado Educators (PLACE) Mathematics exam with this chapter. Prepare for the exam by watching our short videos and taking self-assessment quizzes.

PLACE Mathematics: Circular Arcs and Circles - Chapter Summary

The lessons in this chapter give you the opportunity to review concepts related to circles and solving math problems that incorporate them. Some of the topics you'll see in this chapter include:

  • Finding the area and circumference of a circle
  • Identifying circular arcs and central and inscribed angles
  • Measuring arcs and inscribed angles
  • Tangent of a circle theorems
  • Using tangents, chords and secants when measuring angles and lengths
  • Finding area using arc length of a sector

Our experienced instructors lead you through each lesson and provide easy techniques for remembering how to solve problems with circles. Transcripts are also available that highlight key terms you'll need to know.

Objectives of the PLACE Mathematics: Circular Arcs and Circles Chapter

The PLACE Mathematics test may include questions that analyze your comprehension of the different ways to calculate measurements of circles and their parts. The topic in this Circular Arcs and Circles chapter can be found within the Measurement and Geometry section of the PLACE Mathematics exam, which makes up approximately 19% of the total test.

There are about 100 questions on the total test and all are multiple choice. You can practice answering questions similar to those you will see on the test by using our multiple-choice quizzes at the end of each lesson.

9 Lessons in Chapter 39: PLACE Mathematics: Circular Arcs & 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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Other Chapters

Other chapters within the PLACE Mathematics: Practice & Study Guide course

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