Question

Quantos grados equivalem a 5π/2 rad?​

Answer 1

$\boxed{\boxed{\boxed{\sf 450 {}^{ \circ } }}}$

Para resolucionarmos a expressão devemos expandir a fração multiplicando-a por $\sf \dfrac{180 {}^{ \circ} }{\pi rad}$.

$\sf \dfrac{5\pi}{2} \cancel{rad} \cdot \dfrac{180 {}^{ \circ} }{\pi \: \cancel{rad}} \\ \\ \\ \sf \dfrac{5 \cancel{\pi}}{2} \cdot \dfrac{180 {}^{ \circ} }{ \cancel{\pi} } \\ \\ \\ \sf \frac{5}{ \cancel2} \cdot \cancel{180 {}^ {\circ} } \\ \\ \\ \sf 5 \cdot90 {}^{ \circ} \\ \\ \\ \boxed{\boxed{\boxed{\sf 450 {}^{ \circ} }}}$

A expressão acima equivale a 450°.

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Att: Nerd1990

Answer 2

$\frac{5\pi}{2}$

$\frac{5\pi}{2} \times \frac{180°}{\pi}$

$\frac{5}{2} = 180$°

$5 \times 90$°

$450$°

450° × 200/180 =

500gon