150° = 2.6179938779915 radian, or

150° = 5π/6 radian (in terms of pi or as a fraction of pi)

150° = 5π/6 radian (in terms of pi or as a fraction of pi)

Using the Degrees to Radians Converter above, you can find the exact value of 150 degrees in radians in terms of pi or the value of any angle in radians with steps.

A way to convert from degree to radians is to use the following formula:

radian measure = (degree measure × π)/180

Step 1: Plug the angle value, in degrees, in the formula above:

radian measure = (150 × π)/180

Step 2: Rearrange the terms:

radian measure = π × 150/180

Step 3: Reduce or simplify the fraction of π if necessaryCalculating the gcd of 150 and 180 [gcd(150,180)], we've found that it equals 30. So, we can simplify this fraction by reducing it to lowest terms:

Dividing both numerator and denominator by the gcd 30, we have:

π × 150÷30/180÷30 which equals

5π/6 radian, after reducing the fraction to lowest terms.

Note: 5π/6 rad is the same as:

- 0.83333333333333π radian (as a decimal in terms of π)
- 2.6179938779915 radian (as a real number)