an octagan is eight sided figure .all sides are equal in length .if length of 1 side is 9m them what is perimeter of octagon?
Answers
Side of octagon = 9m
perimeter = 8×9
= > 72
hence the required perimeter is 72 m
ANSWER
72m
Step-by-step explanation:
A polygon is a two-dimensional (2-D) closed figure made up of straight line segments. In geometry, octagon is a polygon with 8 sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon. In other words, sides of a regular octagon are congruent. Each of the interior angle and the exterior angle measure 135° and 45° respectively, in a regular octagon. There is a predefined set of formulas for the calculation of perimeter, and area of a regular octagon which is collectively called as octagon formula. For an octagon with the length of its edge as a, the formulas are listed below.
Octagon
Perimeter of an Octagon = 8a
Area of an Octagon = 2a2(1+2–√)
Octagon formula helps us to compute the area and perimeter of octagonal objects.
Properties of a Regular Octagon:
It has eight sides and eight angles.
Lengths of all the sides and the measurement of all the angles are equal.
The total number of diagonals in a regular octagon is 20.
The sum of all interior angles is equal to 1080 degrees, where each interior angle measures 135 degrees.
The sum of all exterior angles is equal to 360 degrees, where each exterior angle measures 45 degrees.