| Question |
 |
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| Answer |
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| Area of a triangle = |
½ bh
where b is the base and a is the altitude perpendicular to that base
|
| The radius of a polygon is the same as the radius a what? |
circle |
| The endpoints of a radius are the what? |
the center and a vertex of the polygon. |
| Every radius in the same polygon or circle is |
congruent |
| Since the radii are all the same and each radius is a side of a triangle in the regular polygon, then? |
The two consecutive radii are the legs of an isosceles triangle. |
| Every n-gon can be divided into what? |
n congruent isosceles triangles.
(n = number of sides)
|
| The area of any regular polygon is what? |
n times the area of one of those isosceles triangles. |
| The apothem of a regular polygon is the same as what? |
The same as the altitude as the isosceles triangle. |
| The endpoints of the apothem are what? |
The center of the polygon and the midpoint of a side. |
| Area of a regular polygon = |
n(area of a triangle)
|
| where n = |
number of sides |
| (Area of any Regular Polygon) The base b of the triangle is what? |
the same as the side s of the polygon. |
| The height h of the triangle is what? |
the same as the apothem a of the polygon. |
| A = ? |
n ∙ (area of the isosceles triangle) or
n ∙ ( ½ b ∙ h) or
n ∙ ( ½ s ∙ a) or
½ a ∙ ns or
½ a ∙ P where P is the Perimeter of the polygon |
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