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16-2 Regular Polygons

16-2 Regular Polygons. A polygon is regular if (1) it is convex, (2) all of its sides are congruent, and (3) all of its angles are congruent. . Construction of a regular hexagon. Draw a circle and use the length of the radius to mark off 6 equal spaced points then connect the consecutive points.

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16-2 Regular Polygons

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  1. 16-2 Regular Polygons

  2. A polygon is regular if (1) it is convex, (2) all of its sides are congruent, and (3) all of its angles are congruent.

  3. Construction of a regular hexagon • Draw a circle and use the length of the radius to mark off 6 equal spaced points then connect the consecutive points

  4. Constructing a regular Octagon Draw a circle. Mark off 8 equal spaced points.

  5. For regular polygons each central angle is 360 n

  6. For regular polygons each interior angle is 180(n-2) n 180-360/n

  7. For regular polygons each exterior angle is 360 n

  8. Apothem -> the segment from the center drawn perpendicular to any of the

  9. Area formula for a regular polygon • A = ½ ap • Area = ½ ( Apothem ) ( Perimeter )

  10. Equilateral triangle s2√3 4

  11. Hexagon 3s2√3 2

  12. Pg. 540(1,4,6-8, 10 (for 5,9,and 15), 11(for 72,45,and 24), 12 (for 140 and 160), 13,14)

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