Question
Convert 4 pi over 3 to degrees
Answers
GPT-4o mini
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.
\[
\text{degrees} = \text{radians} \times \left( \frac{180}{\pi} \right)
\]
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.