An octagon is any closed shape with eight straight sides. In a regular octagon, unlike an irregular octagon, all the sides are equal in length. Irregular octagons can look completely different from one another.
Know MoreEach interior angle of a regular octagon measures 135 degrees. Each of its exterior angles measures 45 degrees. The properties of an irregular octagon differ in that the interior angles can have measurements that are greater or less than 135 degrees. Some may have interior angles greater than 180 degrees, in which case they are concave octagons, while others may have interior angles less than 180 degrees, making them convex octagons.
Learn more about ShapesAn octagon has 20 diagonals. A shape's diagonals are determined by counting its number of sides, subtracting three and multiplying that number by the original number of sides. This number is then divided by two to equal the number of diagonals.
Full Answer >An octagon has eight sides. The word derives from the Greek words "okto" meaning "eight" and "gonia" meaning "angle." In many countries throughout the world, an example of an octagon seen in everyday life is the red "Stop" sign.
Full Answer >To calculate the area of an octagon, substitute the length of one side for s in the formula: area = 2 * s^2 * (1+?2). If the side is measured in centimeters, then the total area is expressed as centimeters squared.
Full Answer >An octagon has eight interior angles. Octagons have eight interior angles because they have eight sides. Each side must create an angle with an adjacent side to create a closed figure.
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