Question

Express the following sexagesimal measure as radian measure and centesimal system.${72}^o$

Answer 1

${180}^{\circ }=\pi$ rads

$\Rightarrow {72}^{\circ }=\frac{{72}^{\circ }\times \pi }{{180}^{\circ }}$

$=\frac{2}{5}\times \frac{22}{7}$

$=1.256$ radians

$400$gradian$={360}^{\circ }$

$\Rightarrow {72}^{\circ }=\frac{72\times 400}{360}=80$gradians.