# How do you convert -270 degree to radian measure?

Mar 26, 2018

$- \frac{3}{2} \pi$

#### Explanation:

-270°=-270/360*2pi=-3/4*2pi=-3/2pi

Mar 26, 2018

$- {270}^{\circ}$ in radians is $- \frac{3 \pi}{2}$.

#### Explanation:

To convert from degrees to radians, use the conversion factor $\frac{\pi}{180} ^ \circ$:

$\textcolor{w h i t e}{=} - {270}^{\circ}$

$= - {270}^{\circ} \textcolor{b l u e}{\cdot \frac{\pi}{180} ^ \circ}$

$= - {270}^{\textcolor{red}{\cancel{\textcolor{b l a c k}{\circ}}}} \textcolor{b l u e}{\cdot \frac{\pi}{180} ^ \textcolor{red}{\cancel{\textcolor{b l a c k}{\circ}}}}$

$= - 270 \cdot \frac{\pi}{180}$

$= {\textcolor{red}{\cancel{\textcolor{b l a c k}{- 270}}}}^{-} 3 \cdot \frac{\pi}{\textcolor{red}{\cancel{\textcolor{b l a c k}{180}}}} ^ 2$

$= - 3 \cdot \frac{\pi}{2}$

$= - \frac{3 \pi}{2}$

That's the angle in radians. Hope this helped!