Convert 5Π/7 to degree measure

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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.