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# What is the exact angle measure in radians?

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What is the exact angle measure in radians?

May 26, 2018

#1
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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

May 26, 2018
#2
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$$\boxed{\text{Degree to radian: } \theta_{\text{rad}}=\theta_{\text{deg}}\cdot\dfrac{\pi}{180^{\circ}}}$$

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

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May 26, 2018