Ch 27: Michigan Merit Exam - Math: Circles & Their Properties

About This Chapter

Your preparation for questions on circles and circle properties on the math portion of the Michigan Merit Exam can be engaging as well as educational. The short video lessons and quizzes in this chapter will help you feel confident on exam day.

Michigan Merit Exam - Math: Circles & Their Properties - Chapter Summary

Review how to discover the tangent of a circle by watching these brief video lessons. You can also study how to scale angles and the circumference of a circle. This chapter's lessons will help you be sure to that you are properly prepared to answer questions on the Michigan Merit Exam - Math test about the following items:

  • Circumference and area of a circle
  • Inscribed angles and central angles
  • Arcs and angles
  • Secants, tangents, chords, and their connections
  • Connections and creation of inscribed and circumscribed figures
  • Sector, sector areas, and arc length

You can use the lessons several ways, including reading text transcripts which have keywords in bold print. These keywords help you identify words you should to focus on. While viewing the video lessons, you can go directly to certain areas of the videos by using the timeline. If you answer any of the quiz questions incorrectly, you can review those sections of the videos by clicking the 'Watch Answer' button.

Michigan Merit Exam - Math: Circles & Their Properties Chapter Objectives

Items found in this chapter directly link to content you may find in the Geometry and Trigonometry part of the math subtest of the Michigan Merit Exam. The math test consists of approximately 25 multiple-choice questions. Study for questions on the properties and characteristics of circles with the engaging videos in this chapter, then use the multiple-choice quizzes to practice answering questions for test day.

11 Lessons in Chapter 27: Michigan Merit Exam - Math: Circles & Their Properties
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.

Inscribed and Circumscribed Figures: Definition & Construction

9. 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

10. 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.

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.
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Other Chapters

Other chapters within the Michigan Merit Exam - Math: Test Prep & Practice course

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