Question

TRANFORMAR 117° A RADIANES Y 8π/9 A GRADOS(procedimiento)​

Answer 1

¡Hola!

Pasamos 117° a radianes.

$\dfrac{A}{180 ^{\circ}}=\dfrac{T}{\pi} \\ \\ \dfrac{117 ^{ \circ} }{180 ^{ \circ} } = \dfrac{x}{ \pi} \\ \\ x = \dfrac{117 \pi}{180} \\ \\ \boxed{x = \dfrac{13\pi}{20} }$

Pasamos 8π/9 a grados.

$\dfrac{A}{180 ^{\circ}}=\dfrac{T}{\pi} \\ \\ \frac{x}{180^{ \circ} } = \dfrac{ \dfrac{8\pi}{9} }{\pi} \\ \\ x = \dfrac{8 \not\pi}{9 \cdot \not\pi} (180) \\ \\ x = \frac{8}{9} (180) \\ \\ x = \frac{1 \: 440}{9} \\ \\ \boxed{x = 160 ^{ \circ} }$

Espero que sirva y saludos.