Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering...
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Transcript of Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering...
![Page 1: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/1.jpg)
Area of Regular Polygonswith exercises
Geometry Regular ProgramSY 2014-2015
Sources:
Discovering Geometry (2008) by Michael Serra
Geometry (2007) by Ron Larson
![Page 2: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/2.jpg)
How do we get the area of regular polygons?
A regular polygon is equiangular and equilateral. A circle circumscribes the polygon.
Thus, a regular polygon has a center.Radii will divide the polygon into congruent triangles.
![Page 3: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/3.jpg)
How do we get the area of regular polygons?
Let’s say that each side is s.
Determine the area of 1 triangle.
APOTHEM:Perpendicular segment from center of regular polygon to
side of polygon
![Page 4: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/4.jpg)
How do we get the area of regular polygons?
Area of the polygon:
![Page 5: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/5.jpg)
How do we get the area of regular polygons?
Area of regular polygon:
![Page 6: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/6.jpg)
Solve for the unknowns.
![Page 7: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/7.jpg)
Solve for the unknowns.
![Page 8: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/8.jpg)
Solve for the unknowns.
![Page 9: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/9.jpg)
Solve for the unknowns.
![Page 10: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/10.jpg)
Solve for the unknowns.
![Page 11: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/11.jpg)
![Page 12: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/12.jpg)
![Page 13: Area of Regular Polygons with exercises Geometry Regular Program SY 2014-2015 Sources: Discovering Geometry (2008) by Michael Serra Geometry (2007) by.](https://reader036.fdocuments.us/reader036/viewer/2022070402/56649f225503460f94c3a82e/html5/thumbnails/13.jpg)