About This Chapter
Who's it for?
Anyone who needs help learning or mastering geometry material for the NY Regents Exam will benefit from taking this course. There is no faster or easier way to learn high school geometry. Among those who would benefit are:
- Students who have fallen behind in understanding how to measure angles and arcs, finding the area or circumference, or working with other circular arcs and circles topics
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about circular arcs and circles for the NY Regents Exam
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources
How it works:
- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Circular Arcs and Circles chapter exam.
Why it works:
- Study Efficiently: Skip what you know, review what you don't.
- Retain What You Learn: Engaging animations and real-life examples make topics easy to grasp.
- Be Ready on Test Day: Use the Circular Arcs and Circles chapter exam to be prepared for the NY Regents Exam.
- Get Extra Support: Ask our subject-matter experts any circular arcs and circles question. They're here to help!
- Study With Flexibility: Watch videos on any web-ready device.
Students will review:
This chapter helps students review the concepts in a circular arcs and circles unit of a standard high school geometry course. Topics covered include:
- Circular arcs and circles defined
- Central and inscribed angles
- Measure of arcs and inscribed angles
- Tangent of a circle
- Measurements of tangents, angles and segments
- Inscribed and circumscribed figures
- Regular polygons
- The area and circumference of circles
- 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. They serve as the foundation for operating with three-dimensional figures. Learn more about the area and circumference of circles in this lesson.
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. Chord of a Circle: Definition & Formula
In this lesson, you'll learn the definition of a chord of a circle. You will also learn the formulas to find the chord of a circle and then look at some examples.
12. Circle Graph: Definition & Examples
A circle graph is a circular chart divided into sections that each represent a percentage of the total. This lesson will define a circle graph and give some examples of types of circle graphs.
13. Circular Functions: Equations & Examples
In this lesson, we will learn how to define the basic trigonometric functions using a circle. In doing so, every angle in a circle will be paired with an ordered (x,y) point in the coordinate plane using the basic trigonometric functions.
14. Finding the Area of a Sector: Formula & Practice Problems
In this lesson, you'll review your knowledge of circle vocabulary and then discover how to calculate the area of a sector of a circle. The lesson covers finding the area of the sector using degrees and radians.
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Other chapters within the NY Regents Exam - Geometry: Help and Review course
- NY Regents - Foundations of Geometry: Help and Review
- NY Regents - Logic in Mathematics: Help and Review
- NY Regents - Introduction to Geometric Figures: Help and Review
- NY Regents - Similar Polygons: Help and Review
- NY Regents - Quadrilaterals: Help and Review
- NY Regents - Analytical Geometry: Help and Review
- NY Regents - Triangles and Congruency: Help and Review
- NY Regents - Parallel Lines and Polygons: Help and Review
- NY Regents - Geometric Solids: Help and Review
- NY Regents Exam - Geometry Help and Review Flashcards