Ch 16: Honors Geometry: Circular Arcs & Circles

About This Chapter

Strengthen your knowledge or study new information on circular arcs and circles. Each lesson is accompanied with a short multiple-choice quiz so you can check your understanding of these geometry topics.

Honors Geometry: Circular Arcs & Circles- Chapter Summary

In this chapter we will look at concepts within circular arcs and circles. If you are looking for an alternative to your geometry book, this chapter can help you replace several concepts that are found in your book. Lessons will cover topics that include:

  • The properties of circles
  • How to find the tangent of a circle
  • Finding the area of the arc length
  • Measuring an inscribed angle

LessonObjective
Properties of Shapes: Circles Examine the different parts of a circle.
Circles: Area and Circumference Know how to calculate the area and circumference of a circle.
Circular Arcs and Circles: Definitions and Examples Discover the differences between a semicircle and a circle.
Measure of an Arc: Process & Practice Review how to measure an arc of a circle.
How to Find the Measure of an Inscribed Angle Find out how to measure an inscribed angle when knowing the central angle or other arc angles.
How to Construct a Tangent of a Circle Discover what a tangent is and the theorems surrounding tangents.
Arc Length of a Sector: Definition and Area Find out how to determine areas of sectors and arc lengths.
How to Find the Equation of a Circle Apply knowledge of circles to different equations.
Graphing Circles: Identifying the Formula, Center and Radius Learn about how to graph circles with information such as the center and radius.
How to Complete the Square Explore how to complete a square and where the maximum or minimum of a parabola is.
Completing the Square Practice Problems Simplify the process of completing a square.

11 Lessons in Chapter 16: Honors Geometry: Circular Arcs & Circles
Test your knowledge with a 30-question chapter practice test
Properties of Shapes: Circles

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.

Circles: Area and Circumference

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.

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.

Measure of an Arc: Process & Practice

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.

How to Find the Measure of an Inscribed Angle

5. 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.

How to Construct a Tangent of a Circle

6. How to Construct a Tangent of a Circle

It's pretty amazing what you can draw with just a straight edge and a compass! In this lesson, you'll learn how you can draw tangents of a circle, whether you are given a point on the circle or outside of the circle and if you have two circles.

Arc Length of a Sector: Definition and Area

7. 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.

How to Find the Equation of a Circle

8. How to Find the Equation of a Circle

There are two commonly used forms of equations for a circle, in this lesson we'll take a few minutes to examine and understand both forms, and be able to convert from one to the other.

Graphing Circles: Identifying the Formula, Center and Radius

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.

How to Complete the Square

10. How to Complete the Square

Completing the square can help you learn where the maximum or minimum of a parabola is. If you're running a business and trying to make some money, it might be a good idea to know how to do this! Find out what I'm talking about here.

Completing the Square Practice Problems

11. Completing the Square Practice Problems

Completing the square is one of the most confusing things you'll be asked to do in an algebra class. Once you get the general idea, it's best to get in there and actually do a few practice problems to make sure you understand the process. Do that here!

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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