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Geometry

In this example, archeologists have discovered a portion of a circular dinner plate. We can determine the diameter of the plate by utilizing some geometric theorems. According to Theorems 10.5 and 10.6, a diameter acts as the perpendicular bisector of any chord in the circle. Additionally, Theorem 10.10 states that the hypotenuse of an inscribed right triangle is also a diameter. By placing the image of the plate in GeoGebra, we can analyze it and apply these principles to find the plate's diameter effectively.

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Geometry

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  1. Geometry 10.3 Example

  2. Dinner Plate • Archeologists found a portion of a circular dinner plate. Describe a method to determine the diameter of the plate.

  3. Dinner Plate • A few hints: • Theorems 10.5 and 10.6 say that a diameter is a perpendicular bisector of a chord • Theorem 10.10 says that the hypotenuse of an inscribed right triangle is a diameter

  4. Dinner Plate • In order to analyze this, let’s place the image in GeoGebra and analyze it that way • Link to GeoGebra file

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