Resposta :
Resposta:
17π/12 rad
Explicação passo a passo:
Regra de três diretamente proporcional:
180° → π rad
255° → x
180.x=255.π
x=255π/180=255÷15π/180÷15=17π/12
[tex]\large\boxed{\begin{array}{l}\sf \pi~rad\longrightarrow 180^\circ\\\sf x\longrightarrow 255^\circ\\\sf 180x=255\pi\\\\\sf x=\dfrac{255\pi\div15}{180\div15}\\\\\sf x=\dfrac{17\pi}{12}~rad\end{array}}[/tex]