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- Concave polygons have a dent or a vertex turned inwards. At least one interior angle measures greater than 180 degrees.
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A concave polygon is a polygon in which at least one interior angle is a reflex angle (angle greater than 180° but less than 360°). A concave polygon has at least 4 sides. It means that a triangle is always a convex polygon.
A concave polygon is a type of polygon that has at least one interior angle greater than 180 degrees, which means that at least one vertex points inward towards the interior of the shape. This inward pointing creates a 'dent' in the polygon, distinguishing it from convex polygons where all interior angles are less than 180 degrees.
A simple polygon that is not convex is called concave, [1] non-convex[2] or reentrant. [3] A concave polygon will always have at least one reflex interior angle —that is, an angle with a measure that is between 180 degrees and 360 degrees exclusive. [4]
A concave polygon is defined as a polygon in which one or more interior angles are more than 180°. If any of the diagonals of a polygon are formed partly or fully outside the polygon, then it is called a concave polygon. Observe the following figure which shows concave polygons. Properties of Concave Polygon.
This characteristic differentiates it from convex polygons, where all interior angles are less than 180 degrees. The presence of this inward dent influences various properties, including perimeter calculations and how the shape behaves under certain geometric transformations.
May 30, 2024 · In other words, a concave polygon has at least one “dent” or indentation in its boundary. In this article, we will learn about Concave Polygon in detail including their properties as well as formulas related to it’s interior as well as exterior angles.
Concave. more ... Curved inwards. Example: A polygon (which has straight sides) is concave when there are "dents" or indentations in it (where the internal angle is greater than 180°) Think "con- cave " (it has a cave in it!) Try adjusting the points below to make the shape concave: See: Convex. Polygons.
