Question

Convert 5Π/7 to degree measure

Answer 1

To convert an angle from radians to degrees, you can use the following formula:

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

For the angle \( \frac{5\pi}{7} \) radians, the calculation would be:

\[
\text{degrees} = \frac{5\pi}{7} \times \left( \frac{180}{\pi} \right)
\]

The \( \pi \) cancels out:

\[
\text{degrees} = \frac{5 \times 180}{7}
\]

Now calculate it:

\[
\text{degrees} = \frac{900}{7} \approx 128.57
\]

So, \( \frac{5\pi}{7} \) radians is approximately \( 128.57 \) degrees.