Question

1) Converter em radianos:
a) 45O b) 72O c) 36O d) 135O e) 240O f) 600O

Answer 1

Resposta:

a) $0,78539\dots rad$

b) $1,25663\dots rad$

c) $0,62831\dots rad$

d) $2,35619\dots rad$

e) $4,18879\dots rad$

f) $10,47197\dots rad$

Explicação passo a passo:

Fórmula: $x^{\circ}\cdot \frac{\pi}{180 }=\left(n\right)rad$

a) $45\cdot \frac{\pi }{180}=\frac{\pi 45}{180}=\frac{\pi }{4}=0,78539\dots$

b) $72\cdot \frac{\pi }{180}=\frac{\pi 72}{180}=\frac{2\pi }{5}=1,25663\dots$

c) $36\cdot \frac{\pi }{180}=\frac{\pi 36}{180}=\frac{\pi }{5}=0,62831\dots$

d) $135\cdot \frac{\pi }{180}=\frac{\pi 135}{180}=\frac{3\pi }{4}=2,35619\dots$

e) $240\cdot \frac{\pi }{180}=\frac{\pi 240}{180}=\frac{4\pi }{3}=4,18879\dots$

f) $600\cdot \frac{\pi }{180}=\frac{\pi 600}{180}=\frac{10\pi }{3}=10,47197\dots$