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# Conic sections and introduction to circles

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Conic Sections and Introduction to Circle

Conic Sections and Introduction to Circle

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### Transcript

• 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
• 8.
• 9. That’s All!!