Zero angle

Definition

An angle that denotes null is called zero angle.

Introduction

In some cases, there is no angle between sides of an object or objects, and a geometric concept is required to express that angle. So, the concept of zero angle was introduced in geometry.

There are two notable factors to understand this concept.

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

Let’s consider these two natural factors to describe about a geometric concept zero angle.

The surface of earth on which we walk is horizontal. So, a horizontal line can be considered as a line of indicating zero angle but it should start from left and should continue its journey to right.

Explanation

Let’s learn the concept of zero angle further.

Consider a point on the plane and denote it by a letter $O$. A line is started from that point and passed through a point $P$. Similarly, another line is started from point $O$ and passed through a point $Q$.

Geometrically, the ray $\overrightarrow{OP}$ denotes zero angle and the ray $\overrightarrow{OQ}$ also denotes zero angle.

Similarly, the sides of angle are in same direction and both rays are started from same point, which means the angle between them is null. So, the angle between the rays $\overrightarrow{OP}$ and $\overrightarrow{OQ}$ is known as zero angle.

Notation

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

Sexagesimal system

The zero angle is written as $0^\circ$ mathematically and it is read as zero degrees.

Circular system

The zero angle is written as $0^r$ mathematically. It is simply written as $0$ in mathematics and it is read as zero radians.

Centesimal system

The zero angle is written as $0^g$ mathematically and it is read as zero gradians.

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