10.3 Areas of Regular Polygons • The radius of a regular polygon is the distance from the center to a vertex. • The.

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Transcript 10.3 Areas of Regular Polygons • The radius of a regular polygon is the distance from the center to a vertex. • The.

10.3 Areas of Regular Polygons
• The radius of a regular polygon is the distance
from the center to a vertex.
• The apothem is the perpendicular distance
from the center to a side.
Finding Angle Measures
• The figure is a regular pentagon with radii and an
apothem drawn. What is the measure of each
numbered angle?
Postulate 10.1
• If two figures are congruent, then their areas
are equal.
Theorem 10.6
• The area of a regular polygon is half the
product of the apothem and the perimeter.
Finding the Area of a Regular Polygon
• What is the area of the regular decagon?
p  ns
 10(8)
 80in.
1
A  ap
2
1
A  (12.3)(80)
2
 492in.
2
More Practice!!!!!
• Homework – Textbook p. 632 #8 – 25 ALL.