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For a given number of side there exist both a regular concave polygon and a regular convex polygon?
Wiki User
∙ 13y ago
A concave polygon cannot be regular because regularity requires all angles (and sides)to be of equal measure.
Even if you drop the requirement of regularity, there cannot be a concave triangle.
Wiki User
∙ 13y ago
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What is the maximum number of right angles in an irregular polygon?
There is no maximum number for a an irregular concave polygon. If it must be convex, then there is a maximum of 3.
What is the sum of the measures of the interior angles of a 5 sided convex polygon?
Use this form to work out the problem: (n - 2)180° where n is the number of sides Suppose that we have a regular polygon. This is the example of a convex polygon. Given that we have a 5-sided convex polygon, we obtain: (5 - 2)180° = 3 * 180° = 540°
What necessary characteristic must a regular polygon have if it tessellates a plane?
CHARACTERISTICS OF REGULAR POLYGON WHICH CAN TESSELLATE:1. Polygon must be regular convex polygon which means that every angle and sides are equal in measurement.2. Measurement of every corner angle must be divisible by 360, thus, (n-2) | 2n.3. Polygon must have the number of sides of either 3, 4, or 6.
How many triangles can you fit in a regular polygon?
The number of triangles that we can fit in a regular polygon with n sides is n - 2.
The measure of each interior angle of a regular polygon is 144 degrees Find the number of sides of the regular polygon?
It will have 10 equal sides
Is a pentagon convex?
A regular pentagon is convex. By taking a regular pentagon and shortening or lengthening one or more sides, an infinite number of possible convex pentagons can be created. A convex polygon is defined as a polygon such that all internal angles are less than or equal to 180 degrees, and a line segment drawn between any two vertices remains inside the polygon. It is possible to have non-convex (concave) pentagons; there are infinite number possible ways to do this, too.
Does the number of diagonals a polygon has depend on if it is regular?
No, as long as the polygon is convex.
What is the maximum number of right angles in an irregular polygon?
There is no maximum number for a an irregular concave polygon. If it must be convex, then there is a maximum of 3.
How do i classify a polygon using their attributes?
The primary classification of a polygon is according to the number of sides (or vertices) that it has.If all the sides are of equal length and all the angles are of the same measure then it is a regular polygon.If any of the angles is a reflex angle then it is a concave polygon, otherwise it is convex.
Find the number of sides of a regular convex polygon whose angle is 40degrees?
140
How do you find the sum of all the angle in a convex polygon?
If the polygon (convex or concave) has n sides, then the sum of its interior angles is 180*(n-2) degrees. The sum of its exterior angles is 360 degrees - irrespective of the number of sides.
What is the classifying of polygon?
There are a number of different, and sometimes overlapping, classifications. Polygons may be convex or concave. In a convex polygon, any two points inside the polygon are joined by a straight line that is wholly inside the polygon. In a concave polygon there are at least two points such that the line joining them intersects its boundary. Polygons can by equilateral (all sides of equal length), or equiangular (all angles of equal measure) or regular (all sides equal AND all angles equal). Note that in general (unlike for triangles) equilateral and equiangular are not the same. Polygons can be classified according to the number of sides/angles.
How can the differences between a concave and a convex polygon be described?
In a concave polygon a figure has an inverted point. This means all of the exterior angles do no = 360 and the interior angles do not follow the rule (number of sides - 2)180 to get the interior angle sum. Which is all important to geometry. To find out if a polygon is convex or concave take an imaginary rubber band and stretch it around the polygon. If it does not fit snugly then the polygon is concave. For instance if you had a giant square the rubber band would touch all four vertexes and have no gaps. A giant four sided V thought would have a gap between the two tips of the V and prove it was concave.
What kinds of polygon are there?
Polygons are named after the number of sides which range upwards from 3 - without limit. They may be regular (if all their sides are congruent AND all their angles are as well) or irregular. They may be convex (a line joining any two points on the boundary of the polygon is wholly inside the boundary) or concave.
What is the sum of the measures of the interior angles of a 5 sided convex polygon?
Use this form to work out the problem: (n - 2)180° where n is the number of sides Suppose that we have a regular polygon. This is the example of a convex polygon. Given that we have a 5-sided convex polygon, we obtain: (5 - 2)180° = 3 * 180° = 540°
Find the sum of the measures of the exterior angles of a convex 21-gon?
The sum of exterior angles, of any polygon - convex or concave, and whatever the number of sides - is 360 degrees or 2*pi radians.
Is the sum of the interior angles of a convex polygon the same as a non-convex polygon?
No. In a convex polygon the sum of the interior angles is (n-2)*180 deg where n is the number of interior angles. In a non-convex polygon this is not necessarily true.
