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Conic Applications in the Real World A sample presentation by Mrs. Kohler

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Circles Center: (h, k) Radius: r

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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.

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Ellipses Center: (h, k) Foci Formula: (where a > b)

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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.

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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

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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.

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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

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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.

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