Question

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

Answer 1

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

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

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

$\frac{G}{100}=\frac{2}{4}=\frac{1}{2}$

$\frac{G}{100}=\frac{1}{2}$

$\therefore G=\frac{100}{2}={50}^g$