About This Chapter
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:
- 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.
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.
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.
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.
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.
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.
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.
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.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the SAT Subject Test Mathematics Level 1: Practice and Study Guide course
- Basic Arithmetic Calculations
- Rational Numbers
- Square Roots
- Decimals and Percents
- Basic Algebraic Expressions
- Algebraic Linear Equations & Inequalities
- Algebra: Absolute Value Equations & Inequalities
- Algebra: Polynomials
- Understanding the Basics of Functions
- Algebra: Rational Expressions
- Mathematical Sequences
- Understanding Exponentials & Logarithms
- Complex and Imaginary Numbers
- Coordinate Geometry - Graphing
- Lines and Angles
- Properties of Triangles
- Finding Perimeter, Area & Volume
- Solid Geometry
- Trigonometry Basics
- Understanding Probability & Statistics
- SAT Subject Test Mathematics Level 1 Flashcards