To convert an angle from radians to degrees, you can use the conversion factor that states 180 degrees is equal to π radians. Therefore, to convert radians to degrees, you multiply the radian measure by (180/π).
For the angle 11π/12, the conversion to degrees is done as follows:
Degrees = Radians × (180/π)
Degrees = (11π/12) × (180/π)
The π in the numerator and denominator cancels out:
Degrees = 11 × (180/12)
Simplifying the fraction (180/12) gives us 15:
Degrees = 11 × 15
Now, multiplying 11 by 15 results in:
Degrees = 165
Therefore, 11π/12 radians is equal to 165 degrees.