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Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis
 
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Course: College Algebra
Topic: Basic Geometry
Subtopic: Circles

Overview

A circle is the two-dimensional shape formed by connecting all the points that lie at a fixed distance from a given central point. A circle is a basic geometrical object with many practical uses and mathematical history.

Equation of a circle with center (h,k) and radius r: (x-h)2+(y-k)2=r2

Objectives

By the end of this topic you should know and be prepared to be tested on:

Terminology

Define: circle, center, radius, diameter, circumference C=πD, area A=πr2, , standard form (x-h)2+(y-k)2=r2, general form y=ax2+bx+cy2+dy+e, chord of a circle, tangent line to a circle

Supplementary Resources (recommended)

A fun read: Quite Interesting Facts About Circles from The Telegraph in the U.K.

Supplemental Resources (optional)

If you need supplemental tutorial videos with examples relevant to this section go to James Sousa's MathIsPower4U and search for topics: "Graphing and Writing Equations of Circles"