Question

Transforme as medidas de graus para radianos:

a) 340°
b) 540°
c) – 780°

Answer 1

a)

$\dfrac{340}{180} = \dfrac{x}{ \pi \ rad} \\ \\ \\ 180x = 340 \pi \ rad \\ \\ \\ x = \dfrac{340 \pi \ rad}{180} \\ \\ \\ x = \dfrac{17}{9} \pi \ rad$

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b)

$\dfrac{540}{180} = \dfrac{x}{ \pi \ rad} \\ \\ \\ 180x = 540 \pi \ rad \\ \\ \\ x = \dfrac{540 \pi \ rad}{180} \\ \\ \\ x = 3\ \pi \ rad$

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c)

$\dfrac{-780}{180} = \dfrac{x}{ \pi \ rad} \\ \\ \\ 180x = -780 \pi \ rad \\ \\ \\ x = \dfrac{-780 \pi \ rad}{180} \\ \\ \\ x = \dfrac{13}{3} \pi \ rad$