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GT Geometry

Put CW/HW from
 yesterday on the
 corner of your desk,
 with a pen.
Geom Drill 4/9/13
                    2x-3
Find the
length of the        5x
longer of
the two
parallel             7X+5
sides.
REGULAR POLYGON
Describe perimeter
                s1 s
           s8        2

      s7              s3
       s6       s5   s4
REGULAR POLYGON
Write a formula for the
 area        s1 s
           s8         2
                 a
      s7              s3
        s6      s5   s4
Find the area of the regular hexagon using formulas
you already know. Important information: Regular
Hexagon, OA is the radius of the circumscribed circle
  FA
  AB
  BC
  CD
  DE
  EF
OBJECTIVE
TO STATE AND APPLY
 THE FORMULA FOR
 THE AREA OF A
REGULAR POLYGON.
REGULAR POLYGON
All angles congruent
 and all sides
 congruent.
Vocabulary

Center of a regular
 polygon is center of
 the circumscribed
 circle.
Vocabulary

Radius of a regular
 polygon is distance
 from the center to a
 vertex.
Vocabulary
Central angle of a
 regular polygon is the
 angle formed by two
 radii drawn to
 consecutive vertices.
vocabulary

Apothem of a regular
 polygon is the shortest
 distance from the center
 of the polygon to a side.
AREA OF A REGULAR POLYGON


A = 1/2(ap)
a: apothem
p:perimeter of the
 polygon
FIND THE AREA:(exact)
Apothem is
 9, figure is
 regular
FIND THE AREA: (exact)

Radius is 4, figure
 is regular
FIND THE AREA:

Side is 4, figure
 is regular
CLASSWORK

 Worksheet   5.6

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002 area of regpoly