Question

Expresse em RAD pela REGRA DE TRÊS

A)210°
B)350°
C)150°
D)12°
E)2°

Answer 1

Resposta:

Explicação passo-a-passo:

$a)\\\\\begin{matrix}\pi~rad&\rightarrow&180^{\circ}\\ x&\rightarrow&210^{\circ} \end{matrix}\\\\\\x=\frac{210^{\circ}}{180^{\circ}}.\pi=\frac{7}{6}.\pi~rad$

$b)\\\\\begin{matrix}\pi~rad&\rightarrow&180^{\circ}\\ x&\rightarrow&350^{\circ} \end{matrix}\\\\\\x=\frac{350^{\circ}}{180^{\circ}}.\pi=\frac{35}{18}.\pi~rad$

$c)\\\\\begin{matrix}\pi~rad&\rightarrow&180^{\circ}\\ x&\rightarrow&150^{\circ} \end{matrix}\\\\\\x=\frac{150^{\circ}}{180^{\circ}}.\pi=\frac{5}{6}.\pi~rad$

$d)\\\\\begin{matrix}\pi~rad&\rightarrow&180^{\circ}\\ x&\rightarrow&12^{\circ} \end{matrix}\\\\\\x=\frac{12^{\circ}}{180^{\circ}}.\pi=\frac{\pi }{15}~rad$

$c)\\\\\begin{matrix}\pi~rad&\rightarrow&180^{\circ}\\ x&\rightarrow&2^{\circ} \end{matrix}\\\\\\x=\frac{2^{\circ}}{180^{\circ}}.\pi=\frac{\pi}{90}~rad$