Radians to Degrees Conversion

To convert an angle measurement from radians to degrees, we use the fundamental relationship:

$ \pi \text{ radians} = 180^\circ $

This gives us the conversion factor:

$ \frac{180^\circ}{\pi \text{ radians}} $

Calculating 0.5 Radians in Degrees

We apply this conversion factor to the given value of 0.5 radians:

• Multiply the radian value by the conversion factor:

  $ 0.5 \text{ radians} \times \frac{180^\circ}{\pi \text{ radians}} $

• Simplify the expression:

  $ \frac{0.5 \times 180^\circ}{\pi} = \frac{90^\circ}{\pi} $

• Calculate the approximate value using $ \pi \approx 3.14159 $:

  $ \frac{90^\circ}{3.14159} \approx 28.64789^\circ $

• Rounding to two decimal places gives $ 28.65^\circ $.

Therefore, 0.5 radians is approximately equal to 28.65 degrees.