To convert an angle from degrees to radians, you use the conversion factor \(\frac{\pi}{180^\circ}\).

Given \(140^\circ\), the conversion to radians is as follows:

\[
140^\circ \times \frac{\pi}{180^\circ} = \frac{140\pi}{180}
\]

Simplify the fraction:

\[
\frac{140\pi}{180} = \frac{7\pi}{9}
\]

So, \(140^\circ\) is equal to \(\frac{7\pi}{9}\) radians.

Would you like to explore this further, or do you have any questions?

Here are 8 related questions you might find interesting:
1. How do you convert \( \frac{\pi}{6} \) radians to degrees?
2. What is \(270^\circ\) in radians?
3. Convert \( \frac{3\pi}{4} \) radians to degrees.
4. What is the radian measure of a full circle?
5. How do you calculate the length of an arc using radians?
6. What is the difference between degrees and radians?
7. Convert \(315^\circ\) to radians.
8. How would you convert a negative degree measure, like \(-45^\circ\), to radians?

**Tip:** Remember that \(\pi\) radians is equivalent to \(180^\circ\), so any degree measure can be converted to radians by multiplying by \(\frac{\pi}{180^\circ}\).

Learn how to convert 140 degrees to radians using the degree to radian conversion formula. Detailed step-by-step solution provided, simplifying the process with clear explanations. Suitable for advanced high school students studying trigonometry.

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