Question

determine a medida, em radianos, dos arcos correspondentes aos angulos dados em graus.a)270°  b)100°

Answer 1

Lembre-se que, $180^{\circ}=\pi~\text{rad}$. Então, $1^{\circ}=\dfrac{\pi}{180}~\text{rad}$.

a) $270^{\circ}=\dfrac{270\pi}{180}~\text{rad}=\dfrac{3\pi}{2}~\text{rad}$.

b) $100^{\circ}=\dfrac{100\pi}{180}~\text{rad}=\dfrac{5\pi}{9}~\text{rad}$.