To convert \(34\pi\) radians to degrees, we use the following conversion formula:

\[
1 \text{ radian} = \frac{180^\circ}{\pi}
\]

So, for \(34\pi\) radians:

\[
34\pi \, \text{radians} = 34\pi \times \frac{180^\circ}{\pi} = 34 \times 180^\circ = 6120^\circ
\]

Thus, \(34\pi\) radians is equal to \(6120^\circ\).

Would you like more details on this process, or do you have any questions?

Here are 5 related questions to expand on this concept:
1. How do you convert degrees to radians?
2. What is the angle in degrees for \( \frac{\pi}{4} \) radians?
3. What is \(2\pi\) radians in degrees, and why is it significant?
4. How do you measure angles in a unit circle?
5. What are the real-world applications of converting radians to degrees?

**Tip:** Always remember that \( \pi \) radians equals 180°, which can simplify many angle conversion problems.

Learn how to convert 34π radians to degrees with a simple formula: 1 radian = 180°/π. This detailed solution walks through each step, showing how 34π radians equals 6120 degrees. Ideal for students in Grades 9-12 studying trigonometry or angle measurement.

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