What is 510° expressed in radian measure?

17pi/6 rad

Step-by-step explanation:

2 pi radians = 360 degrees

Divide both sides by 2.

pi radians = 180 degrees

From the statement above, you get the conversion factors:

(pi rad)/(180 deg) = (180 deg)/(pi rad) = 1

Both fractions above equal 1. Since multiplying by 1 does not change the number, multiply 510 deg by the fraction above that will cancel out degrees and will leave you with radians.

510 deg * (pi rad)/(180 deg) = 510pi/180 rad = 17pi/6 rad

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