About This Chapter
How it works:
- Identify the lessons in Holt Geometry's Circles chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the circle topics you need to learn or review.
- Complete the quizzes to test your understanding.
- If you need additional help, rewatch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- Properties of tangents, chords and secants
- Applications of tangent theorems
- Definitions of central and inscribed angles
- Methods for calculating circle arcs
- Processes for measuring angles and lengths
- Formulas for the graphs of circles
Holt Geometry is a registered trademark of Holt, Rinehart and Winston, which is not affiliated with Study.com.
1. Properties of Shapes: Circles
Circles are fundamental to everything we do. But, did you know they're much more than just round shapes? In this lesson, we'll look at the various parts of circles and how they all relate.
2. 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.
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.
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.
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.
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.
7. 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.
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Other chapters within the Holt Geometry: Online Textbook Help course
- Holt Geometry Chapter 1: Exploring Geometry
- Holt Geometry Chapter 2: Reasoning in Geometry
- Holt Geometry Chapter 3: Parallels and Polygons
- Holt Geometry Chapter 4: Triangle Congruence
- Holt Geometry Chapter 5: Perimeter and Area
- Holt Geometry Chapter 6: Shapes in Space
- Holt Geometry Chapter 7: Surface Area and Volume
- Holt Geometry Chapter 8: Similar Shapes
- Holt Geometry Chapter 10: Trigonometry
- Holt Geometry Chapter 12: A Closer Look at Proof and Logic