Convert from Radian Measure to Degrees: 11π/12

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.

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