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The radian equivalent of 150° is ____________.
Question

The radian equivalent of 150° is ____________.

A.

3π7\frac{3π}{7}​​

B.

5π6\frac{5π}{6}​​

C.

3π5\frac{3π}{5}​​

D.

7π9\frac{7π}{9}​​

Correct option is B

To convert degrees to radians, use the conversion formula:Radians=Degrees×π180Apply this to 150:150×π180=150π180=5π6\begin{aligned}&\text{To convert degrees to radians, use the conversion formula:} \\&\quad \text{Radians} = \text{Degrees} \times \frac{\pi}{180} \\&\text{Apply this to } 150^\circ: \\&\quad 150^\circ \times \frac{\pi}{180} = \frac{150\pi}{180} = \frac{5\pi}{6}\end{aligned}​​

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