How do you convert 5pi/6 radians to degree?

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How do you convert 5pi/6 radians to degree?

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Answer 1 · 2016-04-18T06:18:47

$150^{o}$ $150^o$

Explanation:

$1 π radian = 180^{o}$ $1pi " radian" = 180^o$

In this case, it is obvious that

$5 π radians = 180^{o} \cdot 5 = 900^{o}$ $5pi " radians" = 180^o * 5 = 900^o$

and, completing the question,

$\frac{5 π}{6} radians = \frac{900^{o}}{6} = 150^{o}$ $(5pi)/6 " radians" = 900^o/6 = 150^o$ .

You can also work it out the other way round, dividing by $6$ $6$ first to give $\frac{180^{o}}{6} = 30^{o}$ $180^o/6 = 30^o$ , and then multiplying by $5$ $5$ to give $150^{o}$ $150^o$ .

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How do you convert 5pi/6 radians to degree?

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