Math Doubts

Right angle

right angle

An angle of $90^\circ$ is called a right angle.

The meaning of right angle is $90^\circ$, if any angle is $90^\circ$, the angle is called a right angle.

Right angle is denoted by a symbol $∟$ in mathematics.

Representation

A right angle is usually written in three ways in mathematics.

$(1) \,\,\,\,\,\,$ $90^°$ (in Degrees).

$(2) \,\,\,\,\,\,$ $\dfrac{\pi}{2}$ (in Radians)

$(3) \,\,\,\,\,\,$ $100^g$ (in Gradians)

Examples

Right angle is formed in two different types in geometric system.

Right angle by a Line

Any angle of a line is generally measured from zero degrees line. If any line is exactly $90^\circ$ to the surface of the earth, the angle made by the line is called a right angle.

right angle by rotation of a line

$\overrightarrow{RS}$ is a ray and it is initially parallel to the surface of the earth. In other words, it is at zero angle.

The ray $\overrightarrow{RS}$ is rotated an angle of $90^\circ$ in anticlockwise direction to reach its final position where the ray $\overrightarrow{RS}$ is known as $\overrightarrow{RT}$.

The angle made by the ray $\overrightarrow{RS}$ from its initial position to final position is $90^\circ$ and it is denoted by $\angle TRS$.

$\angle TRS = 90^\circ$

The angle $TRS$ is exactly $90^\circ$. Therefore, the angle is called a right angle.

Right angle between two lines

The angle between any two straight lines is measured geometrically by considering one line as baseline to another line and vice-versa to measure the angle. If the angle between them is $90^\circ$, the two lines are perpendicular to each other and the angle made between them is called a right angle.

right angle between two lines

$\overrightarrow{UV}$ and $\overrightarrow{UW}$ are two rays and they both are started from a point $U$ but they continued travelling perpendicular to each other.

So, the angle between $\overrightarrow{UV}$ and $\overrightarrow{UW}$ is $90^\circ$ and the angle between them is denoted by $\angle VUW$.

$\angle VUW = 90^\circ$

The angle $VUW$ is $90^\circ$, therefore the angle between rays $\overrightarrow{UV}$ and $\overrightarrow{UW}$ is called a right angle.

Math Questions

The math problems with solutions to learn how to solve a problem.

Learn solutions

Math Worksheets

The math worksheets with answers for your practice with examples.

Practice now

Math Videos

The math videos tutorials with visual graphics to learn every concept.

Watch now

Subscribe us

Get the latest math updates from the Math Doubts by subscribing us.

Learn more

Math Doubts

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.

Copyright © 2012 - 2023 Math Doubts, All Rights Reserved