Question

Express the radian measure ${\frac{4\pi }{27}}^c$ as centesimal measure.

Answer 1

Given:$C=\frac{4\pi }{27}$

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

$\frac{G}{100}=\frac{2\times \frac{4\pi }{27}}{\pi }$

$\frac{G}{100}=\frac{8}{27}$

$G=\frac{8}{27}\times 100$

$\therefore G=\frac{800}{27}={\left(\frac{800}{27}\right)}^g$