Question

The angle measuring $\frac{{\pi }^c}{4}$ when expressed in centesimal system is ___

• A. ${50}^g$
• B. ${60}^g$
• C. ${75}^g$
• D. ${100}^g$

Answer 1

The correct option is A ${50}^g$

In $\text{Centesimal System}$, an angle is measured in grades, minutes and seconds.
Given angle $=\frac{{\pi }^c}{4}=\frac{{180}^0}{4}={45}^0$
We know that $1^0={\left(\frac{10}{9}\right)}^g$

$\Rightarrow {45}^0=\frac{10}{9}\times {45}^g={50}^g$