18. Geometry

Intro Question: A regular pentagon has sides of 20 ft. What is the area inside this object?

Let's take the information we've learned her and extend it.

• • What if, instead of a side, we were given the 'radius' of the regular polygon?

  • Are there any formulas that we might be able to generalize here that would allow us to go a little further?

  • Can we create some generalizations that might allow us to find the area of ANY regular polygon?

  • What if it was a n-gon, where n was arbitrarily large?

  • What if we were given the apothem instead?

What else can we say about regular polygons? What facts or information can we derive about them?

• • Each interior angle?

  • Each exterior angle?

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