Areas of regular polygons

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Areas of regular polygons

• Geometry

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Regular Polygons

• These are polygons with congruent sides and
  congruent angles.
• Apothem A segment drawn from the center of a
  regular polygon perpendicular to a side of the
  polygon.
• Radius A segment drawn from the center of a
  regular polygon to a vertex of the polygon.

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Example

• If ABCDEFGH is a regular octagon with center J,
  name
• 2 apothems ____________
• 2 radii ________________

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Perimeter of a Regular Polygon

• The distance around, or Pns where
• n number of sides
• s measure of one side
• Example Find the perimeter of a regular decagon
  with each side 6 m.

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Area of Regular Polygons

• A area
• P perimeter
• a apothem

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Examples

• Find the area of a regular hexagon with perimeter
  36 m.

• Find the area of a regular octagon with radius
  10 in.

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Assignment

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