The number of diagonals in an n-sided polygon is given by
nC2 - n (where n is the number of sides of the polygon)
or in the expanded form:
factorial (n) _______________________ {factorial (2) * factorial (n-2)}
substituting (n = 6) for a hexagon we get the number of diagonals as 9.
Similarly, substituting (n=5) for a pentagon we get the number of diagonals as 5.
No. The only rigid polygon is a triangle. Any other needs diagonals - which break up the polygon into triangles.
there is 7 hexagons in the design
It has 2 diagonals
It has 9 diagonals
Some concave hexagons can. For an extremely crude figure, but the best that this browser will allow, see below (the full stops are only for positioning the diagonals):____________\.................\..\.................\../................//___________/
yes
20 hexagons
An exagon is not a commonly known shape. It may possibly be a misspelling or a rare geometric term. Assuming you meant "hexagons", here are some properties of hexagons: Six sides: Hexagons have six straight sides. Six angles: Hexagons have six interior angles, each measuring 120 degrees, making the sum of their angles 720 degrees. Regular or irregular: Hexagons can be regular, with all sides and angles equal, or irregular, with different side lengths and/or angles. Convex or concave: Hexagons can be convex, where all interior angles are less than 180 degrees, or concave, where at least one interior angle is greater than 180 degrees. Symmetry: Regular hexagons possess rotational symmetry of order 6, meaning they can be rotated by multiples of 60 degrees and still appear the same. Diagonals: Hexagons have nine diagonals (lines connecting non-adjacent vertices). Tessellation: Hexagons are an efficient shape for tessellating (covering a plane with no gaps or overlaps) in combination with other hexagons. Symmetrical division: By connecting some of its diagonals, a hexagon can be divided into three congruent parallelograms or six congruent triangles.
No. The only rigid polygon is a triangle. Any other needs diagonals - which break up the polygon into triangles.
4 hexagons; A hexagon has 6 sides, thus, if you have 4 hexagons, 4x6=24
It has 1,345,890 diagonals
there is 7 hexagons in the design
24 diagonals
2 diagonals
It has 2 Diagonals!!!
There are 20 diagonals
20 diagonals