How do you convert 210 degrees to radians?

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How do you convert 210 degrees to radians?

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Answer 1 · 2015-12-16T13:16:51

$\times \frac{7 π}{6} x radian$ $color(white)(xx)(7pi)/6color(white)(x) "radian"$

Explanation:

$\times 1 x degree = \frac{π}{180} x radian$ $color(white)(xx)1color(white)(x)"degree"=pi/180color(white)(x) "radian"$

$\Rightarrow 210 x degrees = \frac{210 π}{180} x radian$ $=>210color(white)(x)"degrees"=(210pi)/180color(white)(x) "radian"$
$\times \times \times \times \times = \frac{210 π \times 30}{180 \times 30} x radian$ $color(white)(xxxxxxxxxx)=(210picolor(red)(xx30))/(180color(red)(xx30))color(white)(x) "radian"$
(Multiply both the numerator and denominator by $30$ $color(red)30$ )
$\times \times \times \times \times = \frac{7 π}{6} x radian$ $color(white)(xxxxxxxxxx)=(7pi)/6color(white)(x) "radian"$

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How do you convert 210 degrees to radians?

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