## Angles and Unit circle – Angles, Angular units and Converting angles from one unit to another – pg.1/7

Posted in Math Theory by Lia on 05/01/2017

## 3. Converting from one angular unit to another.

### Reverse, if  π is equivalent with 180°, an angle α measured in radians will be equivalent with in degrees.

 $\alpha(&space;rad)=\frac{\pi&space;*\alpha^{^{\circ}}&space;}{\textbf{180}^{\circ}}$ $\alpha&space;^{^{\circ}}=\frac{{\textbf{180}^{\circ}}*\alpha&space;(rad)&space;}{\pi&space;}$

NOTE:

### 2. Examples of transforming an angle measured in radians that has in its value the symbol π, into an angle measured in radians that does not has in its value the symbol π (the result will be a numerical value).

${\color{Blue}&space;\textbf{a)}}\;&space;\;&space;\alpha=\frac{\pi&space;}{\textbf{5}}\approx&space;\frac{\textbf{3.14}}{\textbf{5}}\approx&space;\textbf{.628}\;&space;rad$

${\color{Blue}&space;\textbf{b)}}\;&space;\;&space;\beta&space;=\frac{\textbf{2}\pi&space;}{\textbf{7}}\approx&space;\frac{\textbf{2}*\textbf{3.14}}{\textbf{7}}\approx&space;\textbf{.897}\;&space;rad$

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