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Calculus IV
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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

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