10.3 - Area of Regular Polygons.notebook

10.3 ­ Area of Regular Polygons.notebook
April 11, 2016
4/11: Warm Up
1. What is the area of the kite?
2. Suppose the area of trapezoid is 126 yd2. If the bases of
the trapezoid are 17 yd and 11 yd long, what is the height?
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10.3 ­ Area of Regular Polygons.notebook
April 11, 2016
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10.3 ­ Area of Regular Polygons.notebook
10.3: Area of Regular Polygons
April 11, 2016
Date: 4/11
Regular Polygons
• The radius of a regular polygon is the
length from the center to the vertex
• The apothem is the length of the segment that
is perpendicular to one side of the polygon
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10.3 ­ Area of Regular Polygons.notebook
April 11, 2016
Ex 1). The figure below is a regular hexagon with radii and an
apothem drawn. What is the measure of each numbered
angle?
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10.3 ­ Area of Regular Polygons.notebook
April 11, 2016
Recall: Special Right Triangles: 30­60­90 and 45­45­90
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10.3 ­ Area of Regular Polygons.notebook
April 11, 2016
Area of Regular Polygons
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10.3 ­ Area of Regular Polygons.notebook
April 11, 2016
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10.3 ­ Area of Regular Polygons.notebook
April 11, 2016
Ex 2). Find the area of the regular polygons below:
a)
b)
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10.3 ­ Area of Regular Polygons.notebook
April 11, 2016
c) decagon, a = 8.6 m, s = 5.6 m
d) 7­gon, a = 8.1 cm, s = 7.8 cm
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10.3 ­ Area of Regular Polygons.notebook
April 11, 2016
e)
f)
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10.3 ­ Area of Regular Polygons.notebook
April 11, 2016
Homework:
pg. 664 #1 – 5, 8 – 16(e), 17 – 19, 22
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