Question

transforme em graus pi÷8rad

Answer 1

Podemos utilizar uma regra de três simples.

1π radiano equivale a 180°, π/8 radianos equivalem a ...

$1\pi~_{-----}~180^\circ\\\dfrac{\pi}{8}~~_{-----}~~x\\\\\\1\pi\cdot x~=~\dfrac{\pi}{8}\cdot180\\\\\\\pi x~=~\dfrac{\pi\cdot180}{8}\\\\\\x~=~\dfrac{\pi\cdot180}{8\cdot\pi}\\\\\\x~=~\dfrac{\pi\!\!\!\backslash\cdot180}{8\cdot\pi\!\!\!\backslash}\\\\\\x~=~\dfrac{180}{8}~~~~\rightarrow~~Simplificando~por~4\\\\\\\boxed{x~=~\left(\dfrac{45}{2}\right)^\circ~~ou~~ 22,5^\circ}$