Answer :
Para converter graus em radianos, utilizamos a fórmula:
[tex]\[ \text{radianos} = \text{graus} \times \left( \frac{\pi}{180} \right) \][/tex]
Vamos calcular a conversão de cada ângulo solicitado:
a) [tex]\( 30^\circ \)[/tex]
[tex]\[ 30^\circ \times \left( \frac{\pi}{180} \right) = 0.5235987755982988 \text{ radianos} \][/tex]
b) [tex]\( 15^\circ \)[/tex]
[tex]\[ 15^\circ \times \left( \frac{\pi}{180} \right) = 0.2617993877991494 \text{ radianos} \][/tex]
c) [tex]\( 120^\circ \)[/tex]
[tex]\[ 120^\circ \times \left( \frac{\pi}{180} \right) = 2.0943951023931953 \text{ radianos} \][/tex]
d) [tex]\( 210^\circ \)[/tex]
[tex]\[ 210^\circ \times \left( \frac{\pi}{180} \right) = 3.6651914291880923 \text{ radianos} \][/tex]
e) [tex]\( 270^\circ \)[/tex]
[tex]\[ 270^\circ \times \left( \frac{\pi}{180} \right) = 4.71238898038469 \text{ radianos} \][/tex]
f) [tex]\( 300^\circ \)[/tex]
[tex]\[ 300^\circ \times \left( \frac{\pi}{180} \right) = 5.235987755982989 \text{ radianos} \][/tex]
g) [tex]\( 20^\circ \)[/tex]
[tex]\[ 20^\circ \times \left( \frac{\pi}{180} \right) = 0.3490658503988659 \text{ radianos} \][/tex]
h) [tex]\( 150^\circ \)[/tex]
[tex]\[ 150^\circ \times \left( \frac{\pi}{180} \right) = 2.6179938779914944 \text{ radianos} \][/tex]
Portanto, as conversões são:
- 30° = 0.5235987755982988 radianos
- 15° = 0.2617993877991494 radianos
- 120° = 2.0943951023931953 radianos
- 210° = 3.6651914291880923 radianos
- 270° = 4.71238898038469 radianos
- 300° = 5.235987755982989 radianos
- 20° = 0.3490658503988659 radianos
- 150° = 2.6179938779914944 radianos
[tex]\[ \text{radianos} = \text{graus} \times \left( \frac{\pi}{180} \right) \][/tex]
Vamos calcular a conversão de cada ângulo solicitado:
a) [tex]\( 30^\circ \)[/tex]
[tex]\[ 30^\circ \times \left( \frac{\pi}{180} \right) = 0.5235987755982988 \text{ radianos} \][/tex]
b) [tex]\( 15^\circ \)[/tex]
[tex]\[ 15^\circ \times \left( \frac{\pi}{180} \right) = 0.2617993877991494 \text{ radianos} \][/tex]
c) [tex]\( 120^\circ \)[/tex]
[tex]\[ 120^\circ \times \left( \frac{\pi}{180} \right) = 2.0943951023931953 \text{ radianos} \][/tex]
d) [tex]\( 210^\circ \)[/tex]
[tex]\[ 210^\circ \times \left( \frac{\pi}{180} \right) = 3.6651914291880923 \text{ radianos} \][/tex]
e) [tex]\( 270^\circ \)[/tex]
[tex]\[ 270^\circ \times \left( \frac{\pi}{180} \right) = 4.71238898038469 \text{ radianos} \][/tex]
f) [tex]\( 300^\circ \)[/tex]
[tex]\[ 300^\circ \times \left( \frac{\pi}{180} \right) = 5.235987755982989 \text{ radianos} \][/tex]
g) [tex]\( 20^\circ \)[/tex]
[tex]\[ 20^\circ \times \left( \frac{\pi}{180} \right) = 0.3490658503988659 \text{ radianos} \][/tex]
h) [tex]\( 150^\circ \)[/tex]
[tex]\[ 150^\circ \times \left( \frac{\pi}{180} \right) = 2.6179938779914944 \text{ radianos} \][/tex]
Portanto, as conversões são:
- 30° = 0.5235987755982988 radianos
- 15° = 0.2617993877991494 radianos
- 120° = 2.0943951023931953 radianos
- 210° = 3.6651914291880923 radianos
- 270° = 4.71238898038469 radianos
- 300° = 5.235987755982989 radianos
- 20° = 0.3490658503988659 radianos
- 150° = 2.6179938779914944 radianos
