Question

Convert radian measure to degree measure 5pi/12

Answer 1

To convert radians to degrees, we use the conversion formula:

Degree measure = (Radian measure) * (180/π)

Given that the radian measure is 5π/12,

Degree measure = (5π/12) * (180/π)

We can simplify this expression by canceling out π:

Degree measure = (5/12) * 180

Now, we can evaluate the expression:

Degree measure = 900/12

Degree measure = 75

Therefore, 5π/12 in degree measure is equal to 75 degrees.