Radians to Degrees Formula

Radians to Degrees Formula

A radian is defined as the angle of an arc in a circle that is created by enclosing the radius of the circle around its circumference. We represent the angle between two lines through radians and degrees. The total angle of a circle equals 360 or we can call it as 2 radians. With the help of radians to degrees we can convert the angles that are represented in radians into degrees.


Radians to Degrees Formula is given as,

\[\large Degrees=\frac{Radians\times 180}{\pi}\]

Solved Examples

Question: Convert 1.46 radians to degrees?
The formula to convert radians to degrees is,
Degrees =
\(\begin{array}{l}\frac{Radians*180}{π}\end{array} \)

Degrees =
\(\begin{array}{l}\frac{1.46*180}{π}\end{array} \)

Degrees = 83.69


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  1. Good I like it