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Calculating Area of Regular Polygons with Theorem 10-6

Learn how to find the area of regular polygons using the apothem, radius, and perimeter. Practice with a nonagon example.

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Calculating Area of Regular Polygons with Theorem 10-6

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Presentation Transcript

  1. Chapter 10:Area Section 10-3: Areas of Regular Polygons

  2. Objective: • To find the area of a regular polygon.

  3. Vocabulary • Radius of a Regular Polygon • Apothem

  4. Radius • The radius of a polygon is the distance from the center to a vertex.

  5. Apothem • The apothem is the perpendicular distance from the center to a side.

  6. Theorem 10-6:“Area of a Regular Polygon” • The area of a regular polygon is half the product of the apothem and the perimeter.

  7. Finding the Area of a Regular Polygon • Find the area of the regular polygon: 12 11

  8. Find the Area of a Regular Polygon • Find the area of a regular nonagon with 6 cm sides and a 4 cm apothem.

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