Geometry/Chapter 10
Section 10.1 - Introduction to "Polygons"
Walking around a city, you can see polygons in buildings, windows, and traffic signs. In general a polygon is a closed plane figure with at least three sides. Those sides intersect only at their endpoints and no adjacent sides are collinear.
Section 10.2 - Definition of "polygon"
A polygon is a two-dimensional, closed plane figure that has at least three sides, all of which are straight. All polygons have the same definite number of angles and sides.
Section 10.3 - Regular polygons
A regular polygon is a polygon that is equiangular, equilateral, and the vertices of which are all equidistant from a common center. Simply put, a polygon is considered to be regular if all of its sides have equal length, all of its angles have equal measure, and there exists an imaginary point that is equally distant from each of its corners.
Despite the fact that the uniform side length of any regular polygon has an infinite amount of possible values, the uniform angle measure can be defined by the following formula:
where θ is the angle measure and n is the number of sides the polygon has.
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