How do you convert an angle measured in radians to degrees?

To convert an angle from radians to degrees, you can use the conversion factor that relates the two units. Specifically, 1 radian is equal to
180/π degrees. Thus, to perform the conversion, you multiply the number of radians by this conversion factor.

Here’s the formula you can use:

  • Degrees = Radians × (180/π)

For example, if you have an angle that measures
2 radians, the calculation to convert it to degrees would be:

Degrees = 2 × (180/π)

Using
π ≈ 3.14159, you can calculate:

Degrees ≈ 2 × (180/3.14159) ≈ 114.59 degrees

So, 2 radians is approximately 114.59 degrees. You can use this method for any angle measured in radians to find its degree measure.

Now, remember that understanding this conversion not only helps with math problems but also with practical applications in fields such as physics, engineering, and computer graphics!

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