About This Chapter
Ohio EOCE- Geometry: Circular Arcs & Circles- Chapter Summary
When solving geometry problems with circular arcs and circles, there are specific formulas and properties that you must be familiar with and knowledgeable about. In this chapter, you will review important information on this area of geometry in order to get ready to take the Ohio EOCE- Geometry exam. You'll brush up on topics such as:
- Area and circumference of circles
- Identifying circular arcs and circles
- Equation of a circle
- Central vs. inscribed angles
- Measuring arcs
- Finding the measurement of an inscribed angle
- Theorems of the tangent of a circle
- Measurements of lengths and angles of tangents, chords and secants
- Differences between the construction of inscribed and circumscribed figures
- Finding the arc length of a sector
Our resources in this chapter can go anywhere you go as long as you have a mobile device and an internet connection. This gives you the flexibility to study where and when it is convenient for you. The dashboard feature keeps track of your progress through the chapter to help assist you in your studies.
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. 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.
4. 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.
5. 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.
6. 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.
7. 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.
8. 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.
9. 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.
10. 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.
11. 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.
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Other chapters within the Ohio End of Course Exam - Geometry: Test Prep & Practice course
- Ohio EOCE - Geometry: Foundations
- Ohio EOCE - Geometry: Lines & Angles
- Ohio EOCE - Geometry: Rotations
- Ohio EOCE - Geometry: Congruence
- Ohio EOCE - Geometry: Logic in Mathematics
- Ohio EOCE - Geometry: Properties of Triangles
- Ohio EOCE - Geometry: Theorems & Proofs
- Ohio EOCE - Geometry: Parallel Lines & Polygons
- Ohio EOCE - Geometry: Similar Shapes
- Ohio EOCE - Geometry: Introduction to Trigonometry
- Ohio EOCE - Geometry: Geometric Properties with Equations
- Ohio EOCE - Geometry: Quadrilaterals
- Ohio EOCE - Geometry: Geometric Solids
- Ohio EOCE - Geometry: Analytical Geometry
- Ohio EOCE - Geometry: 3D Shapes
- Ohio EOCE - Geometry: Modeling
- Ohio End of Course Exam - Geometry Flashcards