Circles
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Conic sections are shapes formed by the intersection of a plane and a double cone. A hyperbola occurs if the plane cuts through both cones. A parabola occurs if the plane is parallel to the edge of the cone. An ellipse occurs if the plane is not parallel or cutting through both cones. A circle is a special case of an ellipse where the plane is perpendicular to the altitude of the cone.
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Circles
- 1. Next CONIC SECTIONS Parabola Circle Ellipse Hyperbola Quadratic Relations Previous Main Menu End
- 3. Circle ©National Science Foundation
Editor's Notes
- Discuss how the radius can be drawn from the center to any point on the circle.
- Stress that in a linear equation, no variables are squared. In the parabola equation only one variable is squared, while two are squared in the circle equation.
- Ax+BY=C Stress that linear equations have exponents of 1 on both the x and the y. With parabolas, either the x or the y has an exponent of 2. With circles, both x and y terms are squared. Also with circles, the coefficients (or denominators) are the same for x 2 and y 2 (You will see in another lesson that that is not true for ellipses.)