Question

How do you convert from $300$ degrees to radians?

Answer 1

Finding the value in radian.

As It is known that a circle spans $360°$ and is considered as $2\mathrm{\pi }$.

So the relation between degree and the radian is $2\mathrm{\pi }=360°$.

For $1°$, it is $\frac{2\mathrm{\pi }}{360}\mathrm{rad}$.

Now according to the question for $300°$.

$\frac{2\mathrm{\pi }}{360°}\times 300°=\frac{5\mathrm{\pi }}{3}$

Hence, the angle $300°$ is written in radian as $\frac{5\mathrm{\pi }}{3}$.