About This Chapter
How it works:
- Identify the lessons in Glencoe 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, re-watch the videos until you've mastered the material or submit a question for one of our instructors.
Students will learn:
- Circle properties
- Circle area and circumference
- Arc length of a sector
- Inscribed and circumscribed figures
- Inscribed and opposite angles
- Chord theorems
- Circle tangents
- Chords and secants
- Equation for a circle
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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.
2. 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.
3. 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.
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. 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.
6. Chord Theorems of Circles in Geometry
Watch this video lesson to learn how a radius will always bisect a perpendicular chord and how equidistant chords will always be congruent to each other. Also, see an example of how you can use these two theorems.
7. 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.
8. Quadrilaterals Inscribed in a Circle: Opposite Angles Theorem
Cyclic quadrilaterals can be inscribed in a circle, and their angles follow a special rule that can help you solve problems more quickly. Learn more about the properties of this particular type of quadrilateral.
9. 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.
10. 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.
11. 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.
12. 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 Glencoe Geometry: Online Textbook Help course
- Glencoe Geometry Chapter 1: Points, Lines, Planes, and Angles
- Glencoe Geometry Chapter 2: Reasoning and Proof
- Glencoe Geometry Chapter 3: Parallel and Perpendicular Lines
- Glencoe Geometry Chapter 4: Congruent Triangles
- Glencoe Geometry Chapter 5: Relationships in Triangles
- Glencoe Geometry Chapter 6: Proportions and Similarity
- Glencoe Geometry Chapter 7: Right Triangles and Trigonometry
- Glencoe Geometry Chapter 8: Quadrilaterals
- Glencoe Geometry Chapter 9: Transformations
- Glencoe Geometry Chapter 11: Area and Volume
- Glencoe Geometry Chapter 12: Surface Area
- Glencoe Geometry Chapter 13: Volume