Question

Express ${\left(\frac{200}{9}\right)}^g$ as radian measure

Answer 1

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

$\frac{\frac{200}{9}}{100}=\frac{2C}{\pi }$

$\Rightarrow \frac{200}{100\times 9}=\frac{2C}{\pi }$

$\Rightarrow \frac{2}{9}=\frac{2C}{\pi }$

$\Rightarrow C=\frac{2}{9}\times \frac{\pi }{2}$

$\Rightarrow C={\frac{\pi }{9}}^c$