Question

Pasar a radianes 150° 210° 270°
60°

Answer 1

Hay un factor para convertir ángulos de grados sexagesimales a radianes, y es el siguiente:

$\frac{\pi rad}{180}$

Entonces:

150 $(\frac{\pi rad}{180} )$ [Tachando los ceros]

15 $(\frac{\pi rad}{18} )$ [Simplificando, sacando tercia]

5 $(\frac{\pi rad}{6} )$

$\frac{5\pi}{6}$rad

∴ 150° = $\frac{5\pi}{6}$rad

210 $(\frac{\pi rad}{180} )$ [Tachando los ceros]

21 $(\frac{\pi rad}{18} )$ [Simplificando, sacando tercia]

7 $(\frac{\pi rad}{6} )$

$\frac{7\pi}{6}$rad

∴ 210° = $\frac{7\pi}{6}$rad

270 $(\frac{\pi rad}{180} )$ [Tachando los ceros]

27 $(\frac{\pi rad}{18} )$ [Simplificando, sacando novena]

3 $(\frac{\pi rad}{2} )$

$\frac{3\pi}{2}$rad

∴ 270° = $\frac{3\pi}{2}$rad

60 $(\frac{\pi rad}{180} )$ [Tachando los ceros]

6 $(\frac{\pi rad}{18} )$ [Simplificando, sacando sexta]

1 $(\frac{\pi rad}{3} )$

$\frac{\pi}{3}$rad

∴ 60° = $\frac{\pi}{3}$rad