Question

What is 510° expressed in radian measure?​

Answer 1

17pi/6 rad

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

Answer 2

Answer: π/180

Explanation:

510 Degree (°) =. 8.90118 Radian (rad) Degree : A degree, a degree of arc or arc degree is a measurement of plane angle, on behalf of 1/360 of a full rotation. The symbol for degree is °. It is not an SI unit, however, it is accepted for use with SI. One degree is equal to π/180 radians.