About This Chapter
How it works:
- Identify the lessons in Prentice Hall Geometry Circles chapter with which you need help.
- Find the corresponding video lessons within this companion course chapter.
- Watch fun videos that cover the circles 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 about:
- Properties of circles
- Area and circumference of circles
- Tangent of a circle
- Construction of a tangent of a circle
- Properties of arcs of circles
- Measure of an arc
- Central and inscribed angles
- Measurement of an inscribed angle
- Inscribed and circumscribed figures
- Construction of inscribed and circumscribed triangles
- Measurements of angles with tangents, chords and secants
- Lengths of segments of chords
- Lengths of segments of tangents and secants
- Equations of circles
- Graphs of circles
- Illustration of a locus satisfying one condition
- Loci satisfying two or more conditions
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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. 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.
3. 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.
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. 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.
6. 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.
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.
8. 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.
9. 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 Prentice Hall Geometry: Online Textbook Help course
- Prentice Hall Geometry Chapter 1: Tools of Geometry
- Prentice Hall Geometry Chapter 2: Reasoning and Proof
- Prentice Hall Geometry Chapter 3: Parallel and Perpendicular Lines
- Prentice Hall Geometry Chapter 4: Congruent Triangles
- Prentice Hall Geometry Chapter 5: Relationships Within Triangles
- Prentice Hall Geometry Chapter 6: Quadrilaterals
- Prentice Hall Geometry Chapter 7: Similarity
- Prentice Hall Geometry Chapter 8: Right Triangles and Trigonometry
- Prentice Hall Geometry Chapter 9: Transformations
- Prentice Hall Geometry Chapter 10: Area
- Prentice Hall Geometry Chapter 11: Surface Area and Volume