Conic Sections and Introduction to Circle

1. Conic Sections and Introduction to Circles

2. Conic Sections Circle Ellipse Parabola Hyperbola

3. Why are they called Conic Sections? If we have a cone as shown below and we use a rectangular plane to slice it when it is: Perpendicular to the Y-Axis Tilted The plane is parallel to one of the sides When the plane is tilted in such a way that it also slices the upper part of the cone

4. When viewed from the top the resulting shapes would be a circle ellipse, parabola and hyperbola respectively Circle Ellipse

5. Parabola Hyperbola

6. Introduction to Circles

7. Circles General Formula : x^2+y^2 = r^2 A circle is the set of points in a plane that are equidistant from a given point . If the circle is shifted, equate the x and y components to 0 to find the new center of the circle then solve for the radius

9. That’s All!!