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°
[tex]180^{0} = \frac{360^{0} }{2} = \frac{2\pi rad}{2} = \pi rad[/tex]
[tex]45^{0} = \frac{360^{0} }{8} = \frac{2\pi rad}{8} = \frac{\pi }{4} rad[/tex]
[tex]120^{0} = \frac{360^{0} }{3} = \frac{2\pi rad}{3} = \frac{2\pi }{3} rad[/tex]
[tex]270^{0} = \frac{3*360^{0} }{4} = \frac{3*2\pi rad}{4} = \frac{3\pi }{2} rad[/tex]
[tex]\frac{\pi rad}{2} = \frac{180^{0} }{2} = 90^{0}[/tex]
[tex]\frac{5\pi rad}{6} = \frac{5*180^{0} }{6} = 150^{0}[/tex]
[tex]\frac{3\pi rad}{5} = \frac{3*180^{0} }{5} = 108^{0}[/tex]
[tex]2\pi rad = 360^{0}[/tex]
