concave polygon
has at least one diagonal with points outside the polygon
A concave polygon is a shape with at least one internal angle measuring more than 180 degrees. It is also known as a complex polygon because it can be decomposed into smaller polygons, unlike a convex polygon, which doesn’t have any internal angles greater than 180 degrees.
A concave polygon can be further divided into two types: simple concave polygons and self-intersecting concave polygons. Simple concave polygons have no intersecting lines or edges, whereas self-intersecting concave polygons have at least one point where two or more sides intersect.
To determine if a polygon is concave, you can draw a straight line between any two vertices of the polygon. If the line intersects with the interior of the polygon, then the polygon is concave. If the line only intersects with the edges or vertices of the polygon, then the polygon is convex.
Some examples of concave polygons include stars, crescent moons, and irregular polygons with different-sized sides and angles. It is important to note that concave polygons must be treated differently from convex polygons in geometry and trigonometry calculations.
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