Question

What is $\frac{\mathrm{\pi }}{2}$radians in degree?

Answer 1

Finding $\frac{\mathbf{\pi }}{\mathbf{2}}$ radians in degree.

We know that:

$\begin{array}{rcl}1\text{radian}& =& {\left(\frac{180}{\mathrm{\pi }}\right)}^{°}\end{array}$

Multiplying both sides by $\frac{\mathrm{\pi }}{2}$.

$\begin{array}{rcl}\frac{\mathrm{\pi }}{2}\text{radian}& =& {\left(\frac{\mathrm{\pi }}{2}\times \frac{180}{\mathrm{\pi }}\right)}^{°}\\ & \Rightarrow & \frac{\mathrm{\pi }}{2}\text{radian}=90°\end{array}$

Hence, $\frac{\mathrm{\pi }}{2}\mathrm{radian}$ is $90°$.