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10.3 Areas of Regular Polygons

10.3 Areas of Regular Polygons. Regular Polygons. Regular polygons:. -all sides congruent. -all angles congruent. -convex. We can center any regular polygon inside of a circle:. radius – the distance from the center to a vertex. apothem – perpendicular distance from the center to a side.

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10.3 Areas of Regular Polygons

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  1. 10.3 Areas of Regular Polygons

  2. Regular Polygons Regular polygons: -all sides congruent -all angles congruent -convex We can center any regular polygon inside of a circle: radius – the distance from the center to a vertex apothem – perpendicular distance from the center to a side

  3. Finding Angle Measures Regular pentagon:

  4. Finding Angle Measures Part of a regular octagon:

  5. Areas of Regular Polygons THEOREM 10.6 – Area of a Regular Polygon The area of a regular polygon is half the product of the apothem and the perimeter

  6. Areas of Regular Polygons Regular decagon: Find the area of a regular pentagon with 11.6-cm sides and an 8-cm apothem.

  7. Areas of Regular Polygons Regular hexagon: 10mm

  8. Areas of Regular Polygons Find the area of the regular polygon. 9 in

  9. 10.3 HW: p. 548#1-12, 14-18 even

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