# Ch 28: FTCE Math: Circles & Arcs

### About This Chapter

## FTCE Math: Circles and Arcs - Chapter Summary

Renew your acquaintance with the components of a circle as you prepare to ace questions related to circles and arcs on the FTCE Math exam. View these lessons, work the practice exercises and complete the quizzes and chapter tests. The lessons cover the material shown in the following list:

- Examples and explanation of circles and arcs
- Understanding inscribed and central angles
- How to measure an arc
- Measuring an inscribed angle
- Explanation of a tangent
- Angle and length measurements with tangents, secants and chords
- Equation, definition, formula and area of arc length

These brief little lessons provide cleverly illustrated, easily assimilated information that holds your interest without boring or overwhelming you. Presented by highly qualified instructors whose knowledge and experience is readily available to you, the lessons make reviewing enjoyable, easy and interesting. Chapter tests and lesson quizzes reinforce retention and measure your progress, and the dashboard helps you stay organized and on track.

### 1. 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.

### 2. 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.

### 3. 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.

### 4. 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.

### 5. 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.

### 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.

### 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.

### 8. 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.

### 9. Arc Length: Definition & Equation

Arc length is an important aspect to understanding portions of curved lengths. As you will learn in this lesson, combining our knowledge of circumference and central angle measures allows us to find arc length.

### 10. Arc Measure: Definition & Formula

Arc measure is a way of identifying an arc. In this lesson, we'll learn how to define and calculate arc measure while discussing the different elements involved in this calculation.

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### Other Chapters

Other chapters within the FTCE Mathematics 6-12 (026): Practice & Study Guide course

- About the FTCE Math Test
- FTCE Math: Properties of Real Numbers
- FTCE Math: Linear Equations
- FTCE Math: Linear Inequalities
- FTCE Math: Absolute Value Expressions & Equations
- FTCE Math: Systems of Linear Equations
- FTCE Math: Ratios & Proportions
- FTCE Math: Rational Expressions & Equations
- FTCE Math: Radical Expressions & Equations
- FTCE Math: Complex Numbers
- FTCE Math: Quadratics
- FTCE Math: Polynomials
- FTCE Math: Exponential & Logarithmic Equations
- FTCE Math: Vector Operations
- FTCE Math: Sequences & Series
- FTCE Math: Matrix Operations & Determinants
- FTCE Math: Functions
- FTCE Math: Piecewise Functions
- FTCE Math: Area & Perimeter
- FTCE Math: Surface Area & Volume
- FTCE Math: Foundations of Geometry
- FTCE Math: Lines & Angles
- FTCE Math: Geometric Construction
- FTCE Math: Properties of Triangles
- FTCE Math: Similar & Congruent Triangle Proofs
- FTCE Math: Right Triangle Proofs
- FTCE Math: Quadrilaterals & Polygons
- FTCE Math: Conic Sections
- FTCE Math: Coordinate Geometry
- FTCE Math: Transformations in Geometry
- FTCE Math: Trigonometry
- FTCE Math: Overview of Statistics
- FTCE Math: Data Analysis & Statistics
- FTCE Math: Regression & Correlation
- FTCE Math: Graphic Representations of Data
- FTCE Math: Sampling in Statistics
- FTCE Math: Probability
- FTCE Math: Limits
- FTCE Math: Rate of Change
- FTCE Math: Calculating Derivatives & Derivative Rules
- FTCE Math: Graphing Derivatives
- FTCE Math: Integration & Integration Techniques
- FTCE Math: Integration Applications
- FTCE Math: Mathematical Reasoning
- FTCE Math: Teaching Strategies & Methods
- FTCE Math: Assessing Student Learning
- FTCE Math: Manipulatives & Models in the Classroom
- FTCE Math: Problem-Solving Strategies
- FTCE Mathematics 6-12 Flashcards