# Ch 6: NY Regents - Circular Arcs and Circles: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other geometry work.
- Identify the circular arcs and circles concepts that you're stuck on.
- Find fun videos on the topics you need to understand for the NY Regents Exam.
- 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 NY Regents Geometry Exam Tutoring Solution will benefit any student who is trying to learn about circular arcs and circles for the NY Regents Exam and earn passing scores. This resource can help students including those who:

- Struggle with understanding central and inscribed angles and figures, how to measure an arc, tangents or any other circular arcs and circles topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning for the NY Regents Exam
- Prefer learning about math visually
- Find themselves failing or close to failing their circular arcs and circles unit
- Cope with ADD or ADHD
- Want to get ahead in geometry
- Don't have access to their math teacher outside of class

## Why it works:

**Engaging Tutors:**We make learning about circular arcs and circles 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 geometry tutor, these video lessons are thoroughly reviewed.**Convenient:**Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about circular arcs and circles for the NY Regents Exam on the go!**Learn at Your Pace:**You can pause and rewatch lessons as often as you'd like, until you master the material.

## Learning Objectives

- Define circular arcs and circles.
- Provide examples of central and inscribed angles.
- Understand the process of finding the measure of an arc.
- Learn how to determine the measure of an inscribed angle.
- Become familiar with theorems relating to the tangent of a circle.
- Measure angles and lengths that involve tangents, secants and chords.
- Construct inscribed and circumscribed figures.
- Take a look at regular polygons.
- Find the area and circumference of a circle.
- Define the arc length of a sector.

### 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. In this lesson, learn how to find the area and circumference of circles by working through several examples.

### 2. 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.

### 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. 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.

### 6. 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.

### 7. 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.

### 8. 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.

### 9. 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.

### 10. 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.

### 11. Circular Permutation: Formula & Examples

This lesson introduces the concept of circular permutations along with its formula. Learn how to determine the number of ways to arrange items in a circle, and when you are through take the quiz to see what you have learned.

### 12. Finding the Radius: Formula & Concept

In some problems, the radius is easy to spot, but in others, the radius requires the use of some formulas. Learn how the formulas for circumference and area can help you in figuring out the radius of a circle or sphere.

### 13. Segment Relationships in Circles

After reading this lesson, you'll understand how useful segments and circles are. You'll learn that when you have segments in a circle, you get some very interesting relationships that help you figure out various values.

### Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

### Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

### Other Chapters

Other chapters within the NY Regents Exam - Geometry: Tutoring Solution course

- NY Regents - Foundations of Geometry: Tutoring Solution
- NY Regents - Logic in Mathematics: Tutoring Solution
- NY Regents - Introduction to Geometric Figures: Tutoring Solution
- NY Regents - Similar Polygons: Tutoring Solution
- NY Regents - Quadrilaterals: Tutoring Solution
- NY Regents - Analytical Geometry: Tutoring Solution
- NY Regents - Triangles and Congruency: Tutoring Solution
- NY Regents - Parallel Lines and Polygons: Tutoring Solution
- NY Regents - Geometric Solids: Tutoring Solution