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

\[
\text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi}
\]

Given \(\frac{257\pi}{360}\) radians, let's convert this to degrees:

\[
\text{Degrees} = \frac{257\pi}{360} \times \frac{180^\circ}{\pi}
\]

The \(\pi\) cancels out, and you get:

\[
\text{Degrees} = \frac{257 \times 180^\circ}{360}
\]

Now, simplify the fraction:

\[
\text{Degrees} = \frac{257 \times 180}{360} = \frac{46260}{360} = 128.5^\circ
\]

So, \(\frac{257\pi}{360}\) radians is equal to \(128.5^\circ\).

Would you like more details, or do you have any further questions?

### Related Questions:
1. How do you convert degrees to radians?
2. What is the degree measure of \(\frac{\pi}{2}\) radians?
3. How many degrees are there in a full circle in terms of radians?
4. How do you simplify the conversion formula for radians to degrees?
5. What is the equivalent of \(180^\circ\) in radians?

### Tip:
Always remember that \(\pi\) radians equals \(180^\circ\). This is key to converting between radians and degrees.

Learn how to convert \(\frac{257\pi}{360}\) radians to degrees using the formula Degrees = Radians * (180^\circ / \pi). Follow a detailed step-by-step solution and understand the relationship between radians and degrees. Suitable for advanced high school students and anyone interested in trigonometry conversions.

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