• Matéria: Matemática
  • Autor: beatrizreisss89
  • Perguntado 7 anos atrás

converta o ângulo 0=9r\5 radianos para graus​

Respostas

respondido por: GeBEfte
2

Lembrando que  180° = 1π rad,temos:

\dfrac{9\pi}{5}~rad~=~\dfrac{9\pi}{5}~rad~~.~\dfrac{180^\circ}{1\pi~rad}\\\\\\\\\dfrac{9\pi}{5}~rad~=~\dfrac{9~.~180^\circ}{5}~~~~~~~~~~\rightarrow~~~~Simplificando~por~5\\\\\\\\\dfrac{9\pi}{5}~rad~=~\dfrac{9~.~36^\circ}{1}\\\\\\\\\boxed{\dfrac{9\pi}{5}~rad~=~324^\circ}

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