You will be finding the area for a regular polygon. A regular polygon has all congruent 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 / 2 aP a P

Find the area for the following regular polygon. 6m 4m A = 1 / 2 aP A = 1 / 2  4m  (6m+6m+6m+6m+6m) A = 1 / 2  4m  30m A = 60m 2

18ft. Looking at the center Take and divide it by Now, lets draw in the apothem. Next, take and divide it by ft. longer leg = shorter leg   3 9 = a  3 33 33 5.2 = a

5.2ft A = 1 / 2 aP A = ½  5.2ft  (18ft+18ft+18ft) A = ½  5.2ft  54ft A = 140.4ft 2

Assignment Workbook Page 443 all