Circles: A Roulette Table One application of a circle is a Roulette Table. The spinning of the wheel keeps the ball on the rim. Slower spinning lessens the centrifugal force and the ball drops in a slot.
Ellipses Center: (h, k) Foci Formula: (where a > b)
Ellipses: The Solar System One application of the ellipse is the orbits of the planets in our solar system. The sun represents one of the foci.
Parabolas Vertical Parabolas Vertex: (h, k) Focus: (h, k+c) Directrix: y = k – c Horizontal Parabolas Vertex: (h, k) Focus: (h+c, k) Directrix: x = k – c
Parabolas: A Light Filament One application of a parabola is the filament in a flashlight. The mirrors on the filament cause the reflection of the bulb to shine outward.
Hyperbola Horizontal Hyperbola Vertex: (h, k) Foci: (h+c, k) (h–c, k) or Vertical Hyperbola Vertex: (h, k) Foci: (h, k +c) (h, k–c) Foci Formula
Hyperbolas: Underwater Radar One application of a hyperbola is the LONAR radar system. This technology is used in submarines. This device detects the intersection of sound waves. The intersection points create a hyperbola.