There are a total of 1,080 degrees in the interior of an octagon. The angles can be evenly divided into eight angles of 135 degrees, as in a regular octagon, or any random combination in an irregular octagon.
Know MoreAn octagon is any closed two dimensional shape with eight sides. To determine the sum of the interior angles, as many triangles as needed to completely fill the inside of the shape should be created. The triangles should be oriented so that all triangle angles coincide with at least part of an octagon angle. As there are 180 degrees in a triangle, multiplying the number of triangles needed to fill the octagon in this manner, in this case six, by 180 degrees yields the total interior degrees of an octagon: 1,080.
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 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.
Full Answer >There are exactly 360 degrees in any circle. A circle is a two dimensional shape that consists of a consistently curved line that continues until it meets itself.
Full Answer >The sum of all the interior angles in a hexagon is equal to 720 degrees. A hexagon is a polygon that consists of six straight line segments and six interior angles. However, there are regular and irregular hexagons.
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