# How do you convert 128.77^o to radians?

Jul 25, 2016

${128.77}^{\circ} \approx \textcolor{g r e e n}{2.24746 \text{ radians}}$

#### Explanation:

Suppose ${128.77}^{\circ}$ is equivalent to $R$ radians

Since $\pi \text{ radians} = {180}^{\circ}$
we know that the ratio $R : 128.77$ must be the same as the ratio $\pi : 180$
or written as fractions
$\textcolor{w h i t e}{\text{XXX}} \frac{R}{128.77} = \frac{\pi}{180}$

$\Rightarrow R = \frac{\pi \times 128.77}{180}$
or, using a calculator:
$\textcolor{w h i t e}{\text{XX}} R \approx 0.7153 \overline{8} \pi \approx 2.24746$