Convert from Degrees to Radians -150

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Trigonometry

$- 150$

To convert degrees to radians, multiply by $\frac{π}{180 °}$ , since a full circle is $360 °$ or $2 π$ radians.

$- 150 ° \cdot \frac{π}{180 °}$ radians

Cancel the common factor of $30$ .

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Factor $30$ out of $- 150$ .

$30 (- 5) \cdot \frac{π}{180}$ radians

Factor $30$ out of $180$ .

$30 \cdot - 5 \cdot \frac{π}{30 \cdot 6}$ radians

Cancel the common factor.

$30 \cdot - 5 \cdot \frac{π}{30 \cdot 6}$ radians

Rewrite the expression.

$- 5 \cdot \frac{π}{6}$ radians

Combine $- 5$ and $\frac{π}{6}$ .

$\frac{- 5 π}{6}$ radians

Move the negative in front of the fraction.

$- \frac{5 π}{6}$ radians

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