Exploring the Properties and Formulas of Decagons | Understanding Sides, Angles, Perimeter, and Area

Decagon

A decagon is a polygon with ten sides and ten angles

A decagon is a polygon with ten sides and ten angles. The word “decagon” comes from the Greek words “deka” meaning ten and “gonia” meaning angle.

In a regular decagon, all sides and angles are equal. Each angle in a regular decagon measures 144 degrees (360 degrees divided by 10). The sum of the interior angles in any decagon, regular or irregular, is always 1440 degrees (180 degrees multiplied by (n-2), where n is the number of sides).

To find the perimeter of a decagon, you would add the lengths of all ten sides. If you know the length of one side in a regular decagon, you can multiply it by 10 to find the perimeter.

To find the area of a regular decagon, you would need the apothem (a line segment from the center of the decagon to the midpoint of any side) and the length of one side. The formula to find the area of a regular decagon is A = (5/2) × apothem × side length.

There are various properties and formulas associated with decagons, and they can be explored further depending on the context or problem at hand.

More Answers:
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