Polygons - Hexagons
Properties of
hexagons, interior angles of hexagons
Polygons:
Properties of Hexagons
Sum of the
Interior Angles of a Hexagon:
To find the sum of
the interior angles of a hexagon, divide it up into triangles...
There are four triangles... Because the sum of the
angles of each triangle is 180 degrees... We get
So, the sum of
the interior angles of a hexagon is 720 degrees.
Regular
Hexagons:
The properties of
regular hexagons:
All sides are the
same length (congruent) and all interior angles are the same size
(congruent).
To find
the measure of the interior angles, we know that the sum of all
the angles is 720 degrees (from above)... And
there are six angles...
So, the measure
of the interior angle of a regular hexagon is 120 degrees.
The measure of the
central angles of a regular hexagon:
To find the
measure of the central angle of a regular hexagon, make
a circle in the middle... A circle is 360 degrees
around... Divide that by six angles...
So, the measure
of the central angle of a regular hexagon is 60
degrees.
A regular hexagon is made up of 6
equilateral triangles!
