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To be a regular polygon, a polygon must be _______________________& ________________________
NEW VOCABULARY!
Radius of a regular polygon:
_____________________________________________________________________ Apothem of a regular polygon:
_____________________________________________________________________
Draw a radius and apothem for the following figures in two different colors.
Area of an Equilateral Triangle Area of a Regular Polygon:
11.5 – Areas of Regular Polygons
11.5
Notes
Deriving New Area Formulas!
W
X
Z
Y
60˚
New Area Formula # 2
Area of an
Regular Polygon =
New Area Formula #1
Area of an
Equilateral Triangle =
1. 2.
3. 4. 5) Find the area of a square if the radius of its inscribed circle is 7. 6) Find the area of a square with an apothem of 11. 7) Given the area of a regular pentagon is 60 and the apothem is 3, find the length of each side.
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