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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) Horizontal Parabolas**

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)**

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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MTH065 Elementary Algebra II Chapter 13 Conic Sections Introduction Parabolas (13.1) Circles (13.1) Ellipses (13.2) Hyperbolas (13.3) Summary.

MTH065 Elementary Algebra II Chapter 13 Conic Sections Introduction Parabolas (13.1) Circles (13.1) Ellipses (13.2) Hyperbolas (13.3) Summary.

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