Question

The value of $\frac{7{\pi }^{\circ }}{9}$ in sexagesimal measure is ___

• A. ${120}^{\circ }$
• B. ${130}^{\circ }$
• C. ${140}^{\circ }$
• D. ${150}^{\circ }$

Answer 1

The correct option is C ${140}^{\circ }$

In $\text{Sexagesimal System}$, an angle is measured in degrees, minutes and seconds.

$1^c={\left(\frac{180}{\pi }\right)}^o$

$\frac{7{\pi }^c}{9}=\frac{7\pi }{9}\times \frac{180}{\pi }={140}^0$