Hexagon Through Angle Calculator
Here’s a table that includes everything you need to know about hexagons concerning angles:
Hexagon Properties Related to Angles
Property | Formula / Value | Explanation |
---|---|---|
Number of Sides (n) | 6 | A hexagon has six sides. |
Sum of Interior Angles | (n−2)×180∘=720∘(n-2) \times 180^\circ = 720^\circ(n−2)×180∘=720∘ | Total sum of interior angles in any hexagon. |
Each Interior Angle (Regular Hexagon) | 720∘6=120∘\frac{720^\circ}{6} = 120^\circ6720∘=120∘ | Each angle in a regular hexagon is 120°. |
Sum of Exterior Angles | 360∘360^\circ360∘ | The sum of exterior angles is always 360°. |
Each Exterior Angle (Regular Hexagon) | 360∘6=60∘\frac{360^\circ}{6} = 60^\circ6360∘=60∘ | Each exterior angle in a regular hexagon is 60°. |
Interior + Exterior Angle Relationship | 120∘+60∘=180∘120^\circ + 60^\circ = 180^\circ120∘+60∘=180∘ | Interior and exterior angles form a linear pair (180°). |
Central Angle | 360∘6=60∘\frac{360^\circ}{6} = 60^\circ6360∘=60∘ | The angle at the center between two adjacent vertices. |
Diagonals (Total Number) | n(n−3)2=6(6−3)2=9\frac{n(n-3)}{2} = \frac{6(6-3)}{2} = 92n(n−3)=26(6−3)=9 | Total number of diagonals in a hexagon. |
Number of Triangles Formed by Diagonals from One Vertex | n−2=4n-2 = 4n−2=4 | A hexagon can be divided into 4 triangles. |
Interior Angles in an Inscribed Hexagon | Varies | Depends on the type of hexagon (irregular/regular). |
Angle Between Two Adjacent Sides in a Regular Hexagon | 120° | Each interior angle in a regular hexagon. |
Would you like any specific calculations or explanations?