Polygon Angles + Triangles + Quadratics

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Last updated 6:25 PM on 6/20/26
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8 Terms

1
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Polygon Sum of Interior Angles:

(n-2)*180

2
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Polygon Sum of Exterior Angles =

360 degrees

3
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Angles of a Regular Polygon

Each interior Angle: ((n-2)180)/n

Each exterior Angle: 360/n

4
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Equilateral Triangle Area:

half x half x sqrt3

5
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Trapezoid Area:

((a+b)/2)h

6
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Dividing Quadrialterals:

Square and Rhombus: 4 equal angles

Rectangle and Parallelogram: equal opposite angles

<p>Square and Rhombus: 4 equal angles</p><p>Rectangle and Parallelogram: equal opposite angles</p>
7
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Regular Polygon Area

(sh/2) * num of triangles (eg a pentagon will have 5 triangles)

8
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Maximizing Polygon Area

The regular form (all sides equal) of a polygon of n sides will always have the largest area if you keep the perimeter constant