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
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):____________\.................\..\.................\../................//___________/
It has 9 diagonals
It has 2 diagonals
yes
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.
20 hexagons
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
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):____________\.................\..\.................\../................//___________/
A undecagon has 44 diagonals. A dodecagon has 54 diagonals. An octagon has 20 diagonals. A heptagon has 14 diagonals.
24 diagonals
2 diagonals
It has 2 Diagonals!!!