Question

The value of ${45}^{\circ }$ in centesimal system is ___

• A. ${25}^g$
• B. ${50}^g$
• C. ${75}^g$
• D. ${100}^g$

Answer 1

Answer: (B)

${50}^g$

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 $1^0={\left(\frac{10}{9}\right)}^g$

$\Rightarrow {45}^0=\frac{10}{9}\times {45}^{}={\left(50\right)}^g$