Hendecagon
A hendecagon is a polygon that has eleven sides and eleven angles
A hendecagon is a polygon that has eleven sides and eleven angles. The word “hendecagon” is derived from the Greek words “hendeka” meaning “eleven” and “gonia” meaning “angle”. It is also known as an undecagon.
In a regular hendecagon, all sides and angles are equal. However, irregular hendecagons can have different side lengths and angle measures.
To find the sum of the interior angles in a hendecagon, you can use the formula:
Sum of Interior Angles = (n – 2) * 180 degrees,
where “n” represents the number of sides. Plugging in 11 for “n”, we get:
Sum of Interior Angles = (11 – 2) * 180 = 9 * 180 = 1620 degrees.
Each interior angle in a regular hendecagon measures 1620 degrees / 11 = 147.27 degrees.
The formula for finding the measure of each interior angle in a regular hendecagon is:
Measure of each Interior Angle = Sum of Interior Angles / n.
In terms of perimeter, you can find the total length of the sides in a hendecagon by multiplying the length of one side by the number of sides, which can be expressed as:
Perimeter = Length of one side * n.
Keep in mind that in an irregular hendecagon, the lengths of the sides may vary, so the perimeter would be different for each individual shape.
I hope this explanation helps clarify the concept of a hendecagon for you. If you have any further questions, please feel free to ask!
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