Conic sections and introduction to circles

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Conic Sections and Introduction to Circle

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Conic sections and introduction to circles

  1. 1. Conic Sections and Introduction to Circles<br />
  2. 2. Conic Sections<br />Circle<br />Ellipse<br />Parabola<br />Hyperbola<br />
  3. 3. Why are they called Conic Sections?<br />If we have a cone as shown below and we use a rectangular plane to slice it when it is:<br />Perpendicular to the Y-Axis<br />Tilted<br />The plane is parallel to one of the sides<br />When the plane is tilted in such a way that it also slices the upper part of the cone<br />
  4. 4. When viewed from the top the resulting shapes would be a circle ellipse, parabola and hyperbola respectively<br />Circle<br />Ellipse<br />
  5. 5. Parabola<br />Hyperbola<br />
  6. 6. Introduction to Circles<br />
  7. 7. Circles<br />General Formula : x^2+y^2 = r^2<br />A circle is the set of points in a plane that are equidistant from a given point .<br />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<br />
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  9. 9. That’s All!!<br />

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