Zero angle

Definition

An angle of zero degrees is called zero angle.

Introduction

Let’s know about two important natural factors.

1. Every language (except few) is written from left to right.
2. The surface of earth is a base to everything.

The above two natural factors can be considered to describe the zero angle in geometric mathematics.

1. A horizontal line can be extended from either left to right or right to left. However, considering the extension of a line from left to right as reference direction of zero angle is reasonable.
2. A straight line in horizontal direction is parallel to the surface of the earth. So, it is considered as a reference line of zero angle.

According to above two natural considerable factors, an angle of a horizontal straight line, started from left to right is called zero angle.

Explanation

Representation

There are three methods to express zero angle in mathematical form.

Sexagesimal system

The zero angle is expressed as zero degrees in Sexagesimal angle measuring system.

The degree symbol is written as a superscript to zero and it is written as $0^\circ$ in mathematical form.

Circular system

The zero angle is expressed as zero radian in circular angle measuring system.

The radian symbol is written as a superscript to zero and it is written as $0^r$ in mathematical form.

Centesimal system

The zero angle is expressed as zero gradian in centesimal angle measuring system.

The gradian symbol is written as a superscript to zero and it is written as $0^g$ in mathematical form.

A free math education service for students to learn every math concept easily, for teachers to teach mathematics understandably and for mathematicians to share their maths researching projects.