- Regular polygons are polygons with all sides and all angles equal.
- Some examples usually used as regular polygons are:
- Pentagons - 5 (1/2 x a s)
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| There are 5 equal triangles, with equal side lengths. |
- Hexagons - 6 (1/2 x a s)
- Heptagons - 7 (1/2 x a s)
- But there's a shorter way to know this. Also remember that in any case n is number of sides, s is side length, and a is apothem [distance from center of polygon to the side].
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| This table shows that the formula is 1/2 times the # of sides, apothem, and side length. |
- Also there's another rule for finding the area of a regular polygon. It's 1/2 x P x a. In this case P is the perimeter and a is the apothem.
- Now try this problem:
- What is n and the areas of this figure?
Sources Cited:
- John Schnatterly AKA --> http://johnschnatterly.blogspot.com/
- http://mathcentral.uregina.ca/QQ/database/QQ.09.07/h/jenna2.html
- http://www.kathykwylie.com/blog/2010/10/geometric-shapes-in-quilts-hexagons/
- http://mryipsmathclass.blogspot.com/2010_11_01_archive.html
- http://www.trueknowledge.com/q/facts_about__pentagon
