Chapter 11: Measuring Length and Area 11.6.1 Area of Regular Polygons.
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Chapter 11: Measuring Length and Area 11.6.1 Area of Regular Polygons
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Transcript of Chapter 11: Measuring Length and Area 11.6.1 Area of Regular Polygons.
![Page 1: Chapter 11: Measuring Length and Area 11.6.1 Area of Regular Polygons.](https://reader036.fdocuments.in/reader036/viewer/2022082414/56649f225503460f94c3a7f5/html5/thumbnails/1.jpg)
Chapter 11: Measuring Length and Area
11.6.1 Area of Regular Polygons
![Page 2: Chapter 11: Measuring Length and Area 11.6.1 Area of Regular Polygons.](https://reader036.fdocuments.in/reader036/viewer/2022082414/56649f225503460f94c3a7f5/html5/thumbnails/2.jpg)
Apothem and Radius For regular polygons The Radius is a segment with the center and a
vertex as endpoints The Apothem is a segment with the center as an
end point and perpendicular to a side
ApothemRadii
![Page 3: Chapter 11: Measuring Length and Area 11.6.1 Area of Regular Polygons.](https://reader036.fdocuments.in/reader036/viewer/2022082414/56649f225503460f94c3a7f5/html5/thumbnails/3.jpg)
Find the measure of a Central Angle
For each side, there is a central angle, there for the measure of each central angle is where n is the number of sides n
360
Central angle(Isosceles triangle)
Apothem is angle bisectorWhy?
![Page 4: Chapter 11: Measuring Length and Area 11.6.1 Area of Regular Polygons.](https://reader036.fdocuments.in/reader036/viewer/2022082414/56649f225503460f94c3a7f5/html5/thumbnails/4.jpg)
Find the measure of each angle
1
217ft
16ft
8ft
15ft
22 817
64289225
215
3610
360
181m
7218902m
![Page 5: Chapter 11: Measuring Length and Area 11.6.1 Area of Regular Polygons.](https://reader036.fdocuments.in/reader036/viewer/2022082414/56649f225503460f94c3a7f5/html5/thumbnails/5.jpg)
Find the measure of the apothem
12in
6in
458
360
27.5⁰
a
6)5.27tan(
a
)5.27tan(
6a
ina 53.11
![Page 6: Chapter 11: Measuring Length and Area 11.6.1 Area of Regular Polygons.](https://reader036.fdocuments.in/reader036/viewer/2022082414/56649f225503460f94c3a7f5/html5/thumbnails/6.jpg)
Homework p. 765 1 – 13, 47 - 52