Question

Transformati următoarele:
​

Answer 1

Răspuns:

180⁰ = π rad

45⁰ = π/4 rad

120⁰ = 2π/3 rad

270⁰ = 3π/2 rad

π/2 rad = 90⁰

5π/6 rad = 150⁰

3π/5 rad = 108⁰

2π rad = 360⁰

Explicație pas cu pas:

2π rad este egal cu măsura unui cerc (adică 360°).

Sau π rad = 180°

$180^{0} = \frac{360^{0} }{2} = \frac{2\pi rad}{2} = \pi rad$

$45^{0} = \frac{360^{0} }{8} = \frac{2\pi rad}{8} = \frac{\pi }{4} rad$

$120^{0} = \frac{360^{0} }{3} = \frac{2\pi rad}{3} = \frac{2\pi }{3} rad$

$270^{0} = \frac{3*360^{0} }{4} = \frac{3*2\pi rad}{4} = \frac{3\pi }{2} rad$

$\frac{\pi rad}{2} = \frac{180^{0} }{2} = 90^{0}$

$\frac{5\pi rad}{6} = \frac{5*180^{0} }{6} = 150^{0}$

$\frac{3\pi rad}{5} = \frac{3*180^{0} }{5} = 108^{0}$

$2\pi rad = 360^{0}$