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While there is no regular polygon that is concave, all types of polygons with 4 sides or more can have irregular concave forms.
Triangles CANNOT be concave. This is because the total of the angle measures in a triangle MUST equal 180 degrees. (The formula for the total angle measures of any polygon is 180*(n-2), where n equals the number of sides in the polygon.) Since any CONCAVE polygon MUST have an angle with a measure greater than 180 degrees, it is impossible for a triangle be concave, since angles CANNOT have negative degree measures.
Also, the mathematical reason that regular polygons cannot be concave relates to a formula similar to the above angle measure formula. Remember that in a regular polygon all of the angles have the same degree measure. So, the formula for the degree measure of any SINGLE angle in a regular polygon is (180*(n-2))/n ( / means to divide). This can be simplified to (180n-360)/n, and it is the same as 180 - 360/n. Since n can't = 0 nor be negative, and since 360 divided by any positive number still = a positive #, 180 MINUS ANY POSITIVE NUMBER WOULD GIVE YOU A NUMBER LESS THAN 180, MEANING THAT NO ANGLE MEASURE IS GREATER THAN 180, WHICH IS REQUIRED IN A CONCAVE POLYGON.
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Which polygons are concave?
A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
Why is a star polygon concave?
because the point of origin would be on an outer point and around it the walls seem to cave in making it seem concave, in comparison to a regular polygon. When checking for concave polygons always compare what you are looking at to a regular polygon
What is a definition for non convex polygon?
A simple polygon that is not convex is called concave, non-convex or reentrant. A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
Is a concave polygon a regular polygon?
No, a concave polygon cannot be a regular polygon.
A square is an example of a quadrilateral that is both a regular concave polygon and a regular convex polygon?
No. There can be no regular concave polygon.
Which polygons are concave?
A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
Why is a star polygon concave?
because the point of origin would be on an outer point and around it the walls seem to cave in making it seem concave, in comparison to a regular polygon. When checking for concave polygons always compare what you are looking at to a regular polygon
What is a definition for non convex polygon?
A simple polygon that is not convex is called concave, non-convex or reentrant. A concave polygon will always have an interior angle with a measure that is greater than 180 degrees.
What is a nonconvex polygon?
A nonconvex polygon is a concave polygon. All polygons with 4 or more sides can be concave. An arrowhead is an example of a concave quadrilateral. The back of an envelop (where the sides are folded and glued together) is a concave pentagon.
A pool is in the shape of a polygon. The segments and vertices of the polygon are shown. Is this polygon convex or concave?
concave
What is a polygon that bends in?
It is a concave polygon. There are polygons of 4 or more sides that are concave.
A polygon that is not convex?
Is a concave polygon.
Is a concave polygon a regular polygon?
No, a concave polygon cannot be a regular polygon.
A square is an example of a quadrilateral that is both a regular concave polygon and a regular convex polygon?
No. There can be no regular concave polygon.
What is the difference between a concave polygon and a convex polygon?
Any polygon that has an angle that is > 180º is a concave polygon. A convex polygon does not. e.g. All regular polygons are convex.
Can a concave polygon be a regular polygon?
No.No! It is not possible.Regular polygon:Polygon in which all the sides are equal and all the interior angles are equal is called as a regular polygon.Concave polygon:A polygon that has one or more interior angles greater that 180o is called as a concave polygon.It is not possible to have polygon with all sides equal and greater than 180o.Source: www.icoachmath.com it is possibleA concave polygon had to be irregular.
What is a polygon with an inward vertex called?
A concave polygon.
