What is the exact angle measure in radians?

In radians, π is also equal to 180 degrees.

 

510 degrees is also 2π + 150 degrees, 

 

150 degrees is also 5/6 π.

 

So the answer is 2 5/6π

 

Or 17/6 π

 

I hope this helped,

 

Gavin

\(\boxed{\text{Degree to radian: } \theta_{\text{rad}}=\theta_{\text{deg}}\cdot\dfrac{\pi}{180^{\circ}}}\)

\(\quad 510^{\circ}\\ =\dfrac{510^{\circ}\cdot\pi}{180^{\circ}}\\ =\dfrac{17\pi}{6}\text{rad}\)

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