concave polygon
A concave polygon is a polygon where at least one of its interior angles is greater than 180 degrees
A concave polygon is a polygon where at least one of its interior angles is greater than 180 degrees. This means that the polygon has a section that “caves in” or curves inward instead of forming a straight side. In other words, the polygon has at least one vertex that is pushed into the interior of the shape.
To determine if a polygon is concave, you can imagine drawing a straight line between any two vertices. If this line intersects the interior of the polygon instead of just intersecting the boundaries or edges of the shape, then the polygon is concave.
For example, consider a hexagon. If all six sides of the hexagon are straight and the interior angles are all less than 180 degrees, then it is a convex polygon. However, if one of the interior angles is greater than 180 degrees, causing the shape to “cave in,” then it is a concave polygon.
Concave polygons have some unique properties. One important property is that they do not have a single center, unlike convex polygons that have a well-defined center point. Additionally, calculations such as finding the perimeter or area of a concave polygon can be more complex than for convex polygons, as the shape is not as simple to define.
It’s worth noting that a concave polygon can have both concave and convex angles within it. Only the presence of at least one angle greater than 180 degrees determines if the shape as a whole is concave.
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