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Radian - Simple English Wikipedia

Radian

From Wikipedia, a free encyclopedia written in simple English for easy reading.

This page or section may not use Simple English
Someone thinks that this page or section does not use Simple English.

This does not mean it is bad. It may only be difficult for some users to understand. Editors can help Wikipedia by making the page or section simpler. For tips on making it better, read "How to write Simple English articles".

Definition of Radian, where a is an angle and r is the radius.
Definition of Radian, where a is an angle and r is the radius.

A radian is a unit of measuring angles. It is shown by the symbol "rad" or, less often, c (for circular measure). The radian was once an SI unit, but was done away with in 1995.

[edit] Conversion

1 Radian is equal to about 57.2°. There are 2π radians in a full circle. The formula for turning radians to degrees and vice versa is:

2\pi\mbox{ rad} = 360^\circ
1 \mbox{ rad} = \frac {360^\circ} {2 \pi} = \frac {180^\circ} {\pi} \approx 57.29577951^\circ

or:

360^\circ=2\pi\mbox{ rad}
1^\circ=\frac{2\pi}{360}\mbox{ rad}=\frac{\pi}{180}\mbox{ rad} \approx 0.01745329\mbox{ rad}

we can also say:


x \mbox{ rad} = x \frac {180^\circ} {\pi}.

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