Question

Convert the following angles in centesimal system.

• A. ${400}^g$
• B. ${300}^g$
• C. ${800}^g$
• D. ${200}^g$

Answer 1

We know in centismal system of angle measurement.
A right angle is divided into hundred centismal degrees. Or
${90}^{\circ }={100}^g$
$\Rightarrow 1^{\circ }=\frac{{100}^g}{90}\cdots \left(a\right)$
Now, using this relation, we can write all the angles in centismal form as:
$A.{180}^{\circ }$
In centismal system, we can write it as: ${180}^{\circ }\times \frac{{100}^g}{90}={200}^g$

$B.{270}^{\circ }$
In centismal system, we can write it as: ${270}^{\circ }\times \frac{{100}^g}{90}={300}^g$

$C.{360}^{\circ }$
In centismal system, we can write it as: ${360}^{\circ }\times \frac{{100}^g}{90}={400}^g$

$D.{720}^{\circ }$
In centismal system, we can write it as: ${720}^{\circ }\times \frac{{100}^g}{90}={800}^g$