I want you to imagine an ice cream cone… a sugar cone, in particular.
Jenn, Founder Calcworkshop®, 15+ Years Experience (Licensed & Certified Teacher)
Now, suppose you take a sharp blade and slice through the ice cream cone.
Congratulations! You’ve just created a conic section!
A conic section is nothing more than an intersection of a plane with a cone. And, by changing the angle and location of how we slice through our cone, we can produce a point, line, circle, ellipse, parabola or hyperbola.
Cool!
In this lesson we are going to focus on the Conic Section: Circles.
Circle Equation centered at the origin
Now a Circle is not anything new to us. We know it has a center and a radius and we know how to calculate it’s perimeter (circumference) and also it’s area, and we even know how to draw one.
But in this lesson we’re going to dive deeper and learn how to identify the features of a Circle, as Khan Academy calls it, which is nothing more than finding a Circle’s center and radius when represented in the form of an equation.
We will write equations for Circles in Standard (Center-Radius) Form and learn how to graph them and determine their domain and range.
Additionally, we will take a circle equation in General (Expanded) Form, and use Completing the Square, to transform it into Standard From in order to find it’s center and radius.
Circle Conics – Video
Get access to all the courses and over 450 HD videos with your subscription
Monthly and Yearly Plans Available
Still wondering if CalcWorkshop is right for you?
Take a Tour and find out how a membership can take the struggle out of learning math.