You will be You will be finding the area finding the area

for a regular for a regular polygon. A polygon. A

regular polygon regular polygon has all congruent has all congruent sides and angles.sides and angles.

Radius is the distance from the center of a polygon to the vertex.

Apothem is the distance from the center of a polygon to the midpoint of a side.

Theorem 10-6

The area of a regular polygon is half the product

of the apothem and the perimeter

Area of a Regular Polygon

A = 1/2aP

a

P

Find the area for the following regular polygon.

6m4m

A = 1/2aP

A = 1/24m(6m+6m+6m+6m+6m)

A = 1/24m30m

A = 60m2

18ft.

Looking at the centerTake 3600 and divide it by 3.

1200

1200

1200

Now, lets draw in the apothem.

Next, take 1200 and divide it by 2.

600

300

9ft.

longer leg = shorter leg 39 = a3

335.2 = a

18ft.

5.2ft

A = 1/2aP

A = ½5.2ft(18ft+18ft+18ft)

A = ½5.2ft54ft

A = 140.4ft2

AssignmentWorkbook

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