How do you convert an angle of 3π/5 radians into degrees?

To convert an angle measured in radians to degrees, you can use the conversion factor that relates both units. The conversion formula is:

Degrees = Radians × (180/π)

In this case, we have an angle of 3π/5 radians. Using the formula, we’ll substitute 3π/5 for Radians:

Degrees = (3π/5) × (180/π)

Next, we can simplify the equation:

First, notice that the π in the numerator and denominator will cancel each other out.
This simplifies our equation to Degrees = 3 × (180/5).

Now, calculate 180/5:

Therefore, substituting back into our equation gives:

Degrees = 3 × 36

Now, multiply:

Thus, 3π/5 radians is equal to 108 degrees.

To summarize, when you convert 3π/5 radians to degrees, you find that it equals 108 degrees.