Question

HELPE MEEE
estou desesperada quem for o abençoado que me ajudar, acredite, eu vou ser muito grata a vc pessoa maravilhosa, ssocorro

Answer 1

1. vc vai usar uma regra de 3 simples. Sabendo que $\pi = 180^{\circ}$ então temos o seguinte :

a)  $\displaystyle 20^{\circ} = \frac{\pi}{\text x} \to \text x = \frac{180^{\circ}}{20^{\circ}} \to \text x = 9$

portanto :

$\huge\boxed{\displaystyle 20^{\circ} = \frac{\pi}{9}}$

b) $\displaystyle 15^{\circ} = \frac{\pi}{\text x} \to \text x = \frac{180^{\circ}}{15^{\circ}} \to \text x = 12$

portanto :

$\huge\boxed{\displaystyle 15^{\circ} = \frac{\pi}{12}}$

C) $\displaystyle 120^{\circ} = \frac{\pi}{\text x} \to \text x = \frac{180^{\circ}}{120^{\circ}} \to \text x = \frac{3}{2}$

Portanto :

$\displaystyle 120^{\circ} = \frac{\pi}{\displaystyle \frac{3}{2}} \to \huge\boxed{120^{\circ} = \frac{2\pi}{3}}$

2) Expressar em graus ( lembrando que $\pi = 180^{\circ}$ )

A) $\displaystyle \frac{\pi}{3} \to \frac{180^{\circ}}{3} \to \huge\boxed{60^{\circ}}$

B) $\displaystyle \frac{\pi}{2} \to \frac{180^{\circ}}{2} \to \huge\boxed{90^{\circ}}$

C) $\displaystyle \frac{\pi}{5} \to \frac{180^{\circ}}{5} \to \huge\boxed{36^{\circ}}$