Table of Contents
An Introduction
to the Theory of Computation
The theory of computation is a branch of mathematics that deals with the design and analysis of algorithms. An algorithm is a step-by-step procedure for solving a problem. The theory of computation is concerned with the properties of algorithms and the limits of what they can do.
The theory of computation was developed in the early twentieth century, primarily by mathematicians such as David Hilbert, Alonzo Church, and Kurt Gödel. It has become an important tool for computer scientists and engineers. The theory of computation is also used in other fields, such as linguistics, biology, and economics.
Types of Octagons
There are six types of octagons: regular, truncated, tessellated, compound, alternated, and snub.
The regular octagon has eight equal sides and eight angles of 90 degrees.
The truncated octagon has eight equal sides and eight angles of 90 degrees, but the corners are cut off to create eight triangular faces.
The tessellated octagon has eight equal sides and eight angles of 90 degrees, but the corners are rounded off to create eight curved faces.
The compound octagon has eight equal sides and eight angles of 90 degrees, but the corners are split into two sets of four angles of 45 degrees each.
The alternated octagon has eight equal sides and eight angles of 90 degrees, but the corners are split into two sets of four angles of 45 degrees each and the angles between the sets are alternated.
The snub octagon has eight equal sides and eight angles of 90 degrees, but the corners are chopped off to create eight sharp points.
Properties of a Regular Octagon
A regular octagon has eight sides and eight angles. The sides are all the same length, and the angles are all the same size.
Area of a Regular Octagon
The area of a regular octagon is 128.5 square units.
Area of an Irregular Octagon
The area of an irregular octagon can be found by using the formula for the area of a polygon, A = 1/2bh. For an irregular octagon, b will be the length of the base and h will be the height.
The perimeter of an Octagon
is 8x the length of a side.
The perimeter of an octagon is 8x the length of a side.
Length of a Diagonal of an Octagon
The length of a diagonal of an octagon is 8√2 units.
Properties of an Octagon
An octagon is an eight-sided polygon. It has eight angles and eight sides. The angles in an octagon are all right angles, and the sides are all the same length.
Get an Edge with Vedantu
If you are looking for an edge over your competition, Vedantu is the perfect solution. We offer live online tutoring from the best teachers in India. You can get personalized attention and learn at your own pace.
