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002 area of regpoly

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  • 1. GT Geometry Put CW/HW from yesterday on the corner of your desk, with a pen.
  • 2. Geom Drill 4/23/16 7X+5 2x-3 5x Find the length of the longer of the two parallel sides.
  • 3. Drill Cont What does it mean to circumscribe an object?
  • 4. OBJECTIVE TO STATE AND APPLY THE FORMULA FOR THE AREA OF A REGULAR POLYGON.
  • 5. Find the area of the regular hexagon using formulas you already know. Important information: Regular Hexagon, OA is the radius of the circumscribed circle EF DE CD BC AB FA
  • 6. REGULAR POLYGON Describe perimeter s7 s5 s3 s2 s1 s6 s4 s8
  • 7. REGULAR POLYGON Write a formula for the area s7 s5 s3 s2 s1 s6 s4 s8 a
  • 8. REGULAR POLYGON All angles congruent and all sides congruent.
  • 9. Vocabulary Center of a regular polygon is center of the circumscribed circle.
  • 10. Vocabulary Radius of a regular polygon is distance from the center to a vertex.
  • 11. Vocabulary Central angle of a regular polygon is the angle formed by two radii drawn to consecutive vertices.
  • 12. vocabulary Apothem of a regular polygon is the shortest distance from the center of the polygon to a side.
  • 13. AREA OF A REGULAR POLYGON A = 1/2(ap) a: apothem p:perimeter of the polygon
  • 14. FIND THE AREA:(exact) Apothem is 9, figure is regular
  • 15. FIND THE AREA: (exact) Radius is 4, figure is regular
  • 16. FIND THE AREA: Side is 4, figure is regular
  • 17. CLASSWORK  Worksheet 5.6