There are 8 interior angles and 8 exterior angles in an octagon. Thus, the octagon holds 8 sides and 8 angles. Also, based on the length of these sides, octagons are classified as regular and irregular octagons.Īs defined above, the octagonal shape contains 8 angles at 8 vertices. Let’s understand octagon sides and how to represent them.Īs we already know, the octagon is an 8-sided polygon. In the previous section, you learned about the shape of an octagon with the help of an image. Some of the examples include the following: We might have observed that different objects that we use in our everyday life contain an octagonal shape. This is a regular octagon because all the angles and sides here are equal. You can see in the above figure, there are 8 sides of the polygon and eight vertices as well. If squares are built internally or externally on all the sides of an octagon, then the midpoints of the sections joining the centers of opposite squares form a quadrilateral: equi-diagonal and ortho-diagonal ( whose diagonals length are equal and they bisect each other at 90 degrees). The point which defines it as different from other geometrical shapes is that it has 8 sides and 8 angles. Like the other polygon shapes, which we have studied in geometry, suc h as triangle, square, pentagon, hexagon, rectangle, etc., the octagon is also a polygon. Octagon is a geometrical shape in a two-dimensional plane. The other types of octagons such as convex and concave octagons are also explained in the next sections. If all the sides and interior angles of an octagon are of equal measure, then it is called a regular octagon otherwise an irregular octagon. Set your blade tilt to 67.5.An octagon is a closed two-dimensional figure with eight sides, eight vertices and eight interior angles. Subtract the 22.5 degrees from 90, and you get 67.5 degrees. Your table saw normally is set at 90 degrees, or perpendicular to the top.

$octagon angle$

For an octagon, the calculated angle is 45 degrees, and 22.5 degrees will be added or subtracted from each side of the stock. John Brock: To determine the angle, divide the degrees in a circle (360), by the desired number of pieces (8), and then split the angle in two since half will be applied to each side of your stock. For that, you can divide the angle in half to get 67.5 degrees, or use the formula 90 – (180/n) which gives the same answer. Subtract 45 from 180, and you get 135.) However, each interior angle is split in half to make the two gluing surfaces. Hence, the interior angles of an octagon are 135 degrees each. The formula for the interior angles of a regular polygon is A (angle) = 180 – (360/n), where n is the number of sides.

Scott Noyes: The glue-up angle for each piece is 67.5 degrees. I’m going to make an octagonal lighthouse and I’m trying to figure out the angle to cut the pieces.

Octagon angle