General: info embibe. Skip to primary navigation Skip to main content Skip to primary sidebar K12 K Octagon Shape Octagon belongs to the Polygon family. Octagon Diagonals. Maths Practice Questions for Class 8. Maths Mock Test for Class 8.
Maths Practice Questions for Class 9. Maths Mock Test for Class 9. Maths Practice Questions for Class Maths Mock Test for Class What is an 8 sided shape called?
In mathematics, 8 sided shape is called an Octagon. How many parallel lines does an octagon have? Octagon has four parallel lines. How many obtuse angles does a regular octagon have? Regular octagon consists of 8 obtuse angles. A regular octagon has all its sides equal. What is the angle sum of a regular octagon? The sum of angles in a regular octagon is equal to degrees. Class 8 Foundation Mock Test Series. Class 8 Practice Questions. Class 9 Foundation Mock Test Series.
Class 9 Practice Questions. Class 10 Foundation Mock Test Series. Every polygon is either convex or concave. Convex octagons bulge outwards, whereas concave octagons have indentations a deep recess. Convex octagons are those in which all the angles point outwards. A regular octagon is an example of a convex octagon.
The octagon in which at least one of its angles points inwards is a concave octagon. An octagon is a polygon with 8 sides and 8 interior angles. That is the reason why it is called an octagon. The octagon having eight congruent sides and angles is known as a regular octagon. A regular octagon has all the angles of equal measure. An octagon in which the sides and angles are not congruent is an irregular octagon.
In other words, an irregular Octagon has eight unequal sides and eight unequal angles. The octagon, which has all its angles pointing outside and no angle pointing inwards, is convex. The diagonal of an octagon is the line segment that connects any two non-adjacent vertices. In this case, there are 8 sides in an octagon. Therefore, there are 20 diagonals in an octagon. The area of an octagon is the total space occupied by it.
It is expressed in square units like inches 2 , cm 2, and so on. For example, if one side of a regular octagon is 6 units, let us find the area of the octagon. In case of an irregular octagon, there is no specific formula to find its area. We divide the octagon into smaller figures like triangles. Then, after calculating the area of all the triangles, we add their areas to get the area of the octagon.
The perimeter of a polygon is the total length of its boundary. In order to calculate the perimeter of an octagon, the length of all the sides should be known. We know that in a regular octagon, all the sides are of equal length. Therefore, the formula that is used to find its perimeter is,. Example 1: How many triangles can be formed by joining the vertices of an octagon?
In a regular octagon, by joining one vertex to the remaining vertices, 6 triangles can be formed. Example 2: Find the length of each side of a regular octagon if the perimeter of the octagon is units. According to the regular octagon definition, all its sides are of equal length. Here, the perimeter is given as units. Therefore, the length of each side of the octagon is 20 units. The sides of a regular octagon are of equal length. Therefore, the area of the octagon is Octagon is an eight-sided two-dimensional geometrical figure which consists of 8 interior angles and 8 exterior angles.
There are 8 interior angles and 8 respective exterior angles in an octagon. A regular octagon is one in which all the sides are of equal length and all the interior angles are of equal measure. The perimeter of an octagon is the total length of its boundary. The perimeter of an octagon is expressed in linear units like inches, cm, and so on. It is expressed in square units like inches 2 , cm 2 , and so on.
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