Section 75: AREA OF A REGULAR POLYGON

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Section 7-5 AREA OF A REGULAR POLYGON

• WHAT IS A REGULAR POLYGON?

YOU SHOULD ALREADY KNOW THIS!

• WHAT IS THE REGULAR POLYGON AREA FORMULA?

CHECK OUT YOUR 7-5 STUDY
GUIDE!!
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Section 7-5 AREA OF A REGULAR POLYGON

• WHAT IS A REGULAR POLYGON?

Its a convex polygon with congruent sides and
angles

• WHAT IS THE REGULAR POLYGON AREA FORMULA?

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Section 7-5 AREA OF A REGULAR POLYGON
Radius This bisects the vertex angle
p is the perimeter of the polygon
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Here are the two examples on your Study Guide
Example 1
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Here are the two examples on your Study Guide
Ex 2 Find the area of this regular pentagon
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FINDING THE AREA OF A REGULAR HEXAGON
WHAT DO YOU DO TO THE DIAGRAM?
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FINDING THE AREA OF A REGULAR HEXAGON
120
HOW MANY DEGREES ?
RADIUS
APOTHEM
WHAT HAS BEEN FORMED ?
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FINDING THE AREA OF A REGULAR HEXAGON
THIS !
FOR HEXAGON ONLY, ITS A 30-60-90 TRIANGLE
SOLVE THE TRIANGLE !
DO WHAT NEXT ??
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SUMMARY FINDING THE AREA OF A REGULAR HEXAGON
120
RADIUS
APOTHEM
USE
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NOW, TRY TO FIND THE AREA OF THE FOLLOWING THREE
SAMPLES. DRAW A DIAGRAM FOR EACH !!! PLEASE
GIVE EXACT ANSWERS!

• 1

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HERES A REGULAR TRIANGLE ONE TO TRY !!

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A regular triangle with apothem10cm
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Its a regular triangle with apothem10cm lets
fix the diagram!

• 2

60
10
60
30
A regular triangle is equiangular!
?
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Its a regular triangle with apothem10cmnow
find the area!

• 2

10
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LAST ONE BE SURE TO DRAW AN ACCURATE DIAGRAM !

• 3 AREA OF A REGULAR HEXAGON WITH APOTHEM 3

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OKAY,
SO WHAT FORMULA HAVE WE ADDED
TODAY?AREA OF A REGULAR POLYGON