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Ch 20: Properties of Circles

About This Chapter

Review properties of circles and methods for calculating their dimensions to prepare for the SAT level 1 mathematics subject test. Video lessons and quizzes cover topics including tangents, inscribed angles and sectors.

Properties of Circles - Chapter Summary

Prepare for the SAT level 1 mathematics subject test with this chapter on the components and properties of circles. Our instructors can teach you how to find or calculate the following over the course of a few short video lessons:

  • Tangents
  • Arc length
  • Sector area
  • Central angles
  • Inscribed angles
  • Circumscribed figures
  • Inscribed figures

Whether you need practice applying the formulas used to calculate a circle's area and circumference or just want to review tangent theorems, video lessons and their matching transcripts allow you to work at your own pace and choose which topic to focus on next. There are also multiple-choice quizzes useful for assessing your mastery of this subject area.

Properties of Circles - Chapter Objectives

In addition to meeting some schools' admissions requirements, scores on the level 1 SAT mathematics subject test can be used to supplement your college application or test out of introductory math classes. However, it's recommended that you have a combined three years of high school algebra and geometry coursework before opting to take this test.

The exam itself lasts 60 minutes and includes 50 multiple-choice questions. You can use the lessons in this chapter to study for the roughly 10% of questions focusing on the coordinate geometry of circles as well as parabolas, lines and other basic shapes.

7 Lessons in Chapter 20: Properties of Circles
Test your knowledge with a 30-question chapter practice test
Tangent of a Circle: Definition & Theorems

1. 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.

Central and Inscribed Angles: Definitions and Examples

2. 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.

Circular Arcs and Circles: Definitions and Examples

3. 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.

Arc Length of a Sector: Definition and Area

4. 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.

Finding the Area of a Sector: Formula & Practice Problems

5. Finding the Area of a Sector: Formula & Practice Problems

In this lesson, you'll review your knowledge of circle vocabulary and then discover how to calculate the area of a sector of a circle. The lesson covers finding the area of the sector using degrees and radians.

Graphing Circles: Identifying the Formula, Center and Radius

6. Graphing Circles: Identifying the Formula, Center and Radius

Discover how to graph circles by finding key information like the center and radius. Identify circles by simply looking at the formula, and vice versa.

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.

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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