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Conic Sections and Introduction to Circle
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Conic Sections and Introduction to Circles
Conic Sections
• Circle• Ellipse• Parabola• Hyperbola
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:
a. Perpendicular to the Y-Axis
b. Tiltedc. The plane is parallel to
one of the sidesd. When the plane is tilted
in such a way that it also slices the upper part of the cone
• When viewed from the top the resulting shapes would be a circle ellipse, parabola and hyperbola respectively
Circle Ellipse
Parabola
Hyperbola
Introduction to Circles
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
That’s All!!
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