convex polygon
A convex polygon is a polygon in which all of its interior angles are less than 180 degrees, meaning it does not have any ‘caved in’ or ‘concave’ sides
A convex polygon is a polygon in which all of its interior angles are less than 180 degrees, meaning it does not have any ‘caved in’ or ‘concave’ sides. In other words, every line segment connecting any two points within the polygon lies completely inside the polygon. The term “convex” relates to the fact that the polygon appears to be bulging or curved outward.
Some key properties of convex polygons are:
1. All sides of a convex polygon are straight, and every vertex (or corner) of the polygon points outward. This implies that the polygon does not have any indentations or ‘dents’ in its shape.
2. Any two points within a convex polygon can be connected by a straight line that lies entirely within the polygon.
3. The sum of the interior angles of a convex polygon can be calculated using the formula (n – 2) * 180 degrees, where n represents the number of sides in the polygon.
To determine if a polygon is convex, you can try the following test: choose any three consecutive vertices of the polygon. If the line segment connecting the first and third vertices lies completely within the polygon, without crossing any edges or going outside, then the polygon is convex.
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