Question

Express ${\left(\frac{500}{3}\right)}^g$ as radian measure.

Answer 1

We know that $\frac{G}{100}=\frac{2C}{\pi }$

$\frac{\frac{500}{3}}{100}=\frac{2C}{\pi }$

$\Rightarrow \frac{500}{100\times 3}=\frac{2C}{\pi }$

$\Rightarrow \frac{5}{3}=\frac{2C}{\pi }$

$\Rightarrow C=\frac{5}{3}\times \frac{\pi }{2}$

$\Rightarrow C={\frac{5\pi }{6}}^c$