How do you find the angles of an octagon?
An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent. Thus, the measure of each angle is equal to the sum of its angles divided by 8.
Do the angles of an octagon add up to 360?
So, the sum of the interior angles of an octagon is 1080 degrees. All sides are the same length (congruent) and all interior angles are the same size (congruent).
What is the sum of exterior angle of octagon?
360°
Properties of Octagon The sum of the exterior angles is 360°. A regular octagon has all eight sides of equal length. Each interior angle of a regular octagon measures 135°.
What are the measurements of a octagon?
A regular octagon is a geometric shape with 8 equal lengths and 8 equal angles. The sum of the interior angles of a regular octagon is 1080 degrees, which makes each angle equal to 135 degrees in measure.
How do you find the interior and exterior angles of an octagon?
((8-2)*180)/8 => (6*180)/8 => 1080/8 = 135 degrees. This means that each interior angle of the regular octagon is equal to 135 degrees. Each exterior angle is the supplementary angle to the interior angle at the vertex of the polygon, so in this case each exterior angle is equal to 45 degrees. (180 – 135 = 45).
How many sides does a octagon have?
8Octagon / Number of edges
In geometry, an octagon (from the Greek ὀκτάγωνον oktágōnon, “eight angles”) is an eight-sided polygon or 8-gon. A regular octagon has Schläfli symbol {8} and can also be constructed as a quasiregular truncated square, t{4}, which alternates two types of edges. A truncated octagon, t{8} is a hexadecagon, {16}.
How do you find the sum of the exterior angles of an octagon?
The sum of the exterior angles of a regular octagon = 360 deg. So each exterior angle = 360/8 = 45 deg. And the interior angle which is supplementary to the exterior angle = 180–45 = 135 deg.
How do you find the sides of an octagon?
Multiply the diameter’s length, the distance from vertex to opposite vertex, by 0.383 to calculate a side’s length. For example, the diameter is 10 inches — 10 inches multiplied by 0.383 results in 3.83 inches.