Ch 30: Circular Arcs, Circles & Angles: Tutoring Solution

About This Chapter

The Circular Arcs, Circles and Angles chapter of this High School Trigonometry Tutoring Solution is a flexible and affordable path to learning about circles. These simple and fun video lessons are each about five minutes long, and they teach all of the steps for measuring a circle's inscribed and circumscribed figures covered in a typical high school trigonometry course.

How it works:

  • Begin your assignment or other high school trigonometry work.
  • Identify the circular arcs, circles and angles concepts that you're stuck on.
  • Find fun videos on the topics you need to understand.
  • Press play, watch and learn!
  • Complete the quizzes to test your understanding.
  • As needed, submit a question to one of our instructors for personalized support.

Who's it for?

This chapter of our High School Trigonometry Tutoring Solution will benefit any student who is trying to learn about circular arcs, circles and angles to earn better grades. This resource can help students, including those who:

  • Struggle with understanding circle area and circumference, inscribed angles, chords, tangents, arc length or any other circular arcs, circles and angles topic
  • Have limited time for studying
  • Want a cost effective way to supplement their math learning
  • Prefer learning math visually
  • Find themselves failing or close to failing their circular arcs, circles and angles unit
  • Cope with ADD or ADHD
  • Want to get ahead in high school trigonometry
  • Don't have access to their math teacher outside of class

Why it works:

  • Engaging Tutors: We make learning about circular arcs, circles and angles simple and fun.
  • Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
  • Consistent High Quality: Unlike a live trigonometry tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about circular arcs, circles and angles on the go!
  • Learn at Your Pace: You can pause and re-watch lessons as often as you'd like, until you master the material.

Learning objectives:

  • Study the similarity of circles.
  • Find the area and circumference of a circle.
  • Explore the correlation between inscribed angles, chords and radii.
  • Construct circumscribed and inscribed figures such as triangles and quadrilaterals.
  • Calculate the measure of inscribed angles.
  • Learn about tangents to circles and tangent theorems.
  • Find the area of the arc length of a sector.
  • Study radians and arc length.
  • Utilize the Pythagorean Theorem to derive a circle's equation.
  • Complete the square to find the center of a circle.
  • Calculate the measures of angles formed by tangents, chords or secants.
  • Illustrate the components of a regular polygon.

8 Lessons in Chapter 30: Circular Arcs, Circles & Angles: Tutoring Solution
Test your knowledge with a 30-question chapter practice test
Circles: Area and Circumference

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.

Inscribed and Circumscribed Figures: Definition & Construction

2. 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.

How to Find the Measure of an Inscribed Angle

3. 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.

Tangent of a Circle: Definition & Theorems

4. 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.

Arc Length of a Sector: Definition and Area

5. 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.

Measurements of Angles Involving Tangents, Chords & Secants

6. 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.

Measurements of Lengths Involving Tangents, Chords and Secants

7. 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.

Regular Polygons: Definition & Parts

8. Regular Polygons: Definition & Parts

What makes a polygon a polygon? And what shapes are considered polygons? In this lesson, find out the answers to these questions and more as we learn all about polygons and their parts.

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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Other Chapters

Other chapters within the High School Trigonometry: Tutoring Solution course

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