Convert 4 pi over 3 to degrees

1 answer

To convert radians to degrees, you can use the formula:

\[ \text{degrees} = \text{radians} \times \left( \frac{180}{\pi} \right) \]

For \( \frac{4\pi}{3} \) radians, the conversion to degrees is:

\[ \text{degrees} = \frac{4\pi}{3} \times \left( \frac{180}{\pi} \right) \]

The \( \pi \) in the numerator and denominator cancels out:

\[ \text{degrees} = \frac{4 \times 180}{3} \]

Calculating this gives:

\[ \text{degrees} = \frac{720}{3} = 240 \]

Thus, \( \frac{4\pi}{3} \) radians is equal to \( 240 \) degrees.