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 =

11.5 Areas of Regular Polygonscoachgriffin.weebly.com/uploads/2/4/6/5/24656764/11.5...Area of an Equilateral Triangle Area of a Regular Polygon: 11.5 – Areas of Regular Polygons

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Page 1: 11.5 Areas of Regular Polygonscoachgriffin.weebly.com/uploads/2/4/6/5/24656764/11.5...Area of an Equilateral Triangle Area of a Regular Polygon: 11.5 – Areas of Regular Polygons

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!

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.