Convert the angle in degrees to radians.  Express your answer as a multiple of pi.
155degrees

To convert an angle from degrees to radians, you can use the conversion factor:

\[
\text{radians} = \text{degrees} \times \frac{\pi}{180}
\]

For \( 155^\circ \), the conversion to radians is:

\[
155^\circ \times \frac{\pi}{180} = \frac{155\pi}{180}
\]

Now, simplify the fraction:

\[
\frac{155\pi}{180} = \frac{31\pi}{36}
\]

So, \( 155^\circ \) is equal to \( \frac{31\pi}{36} \) radians.

Would you like more details on this conversion or have any other questions?

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Here are some related questions you might be interested in:

1. How do you convert radians to degrees?
2. What is the radian measure of \(45^\circ\)?
3. How do you simplify fractions involving \(\pi\)?
4. What is the degree measure of \( \frac{5\pi}{6} \) radians?
5. How do you express \( 270^\circ \) in radians?
6. What is the relationship between degrees and radians?
7. How do you handle angles greater than \(360^\circ\) in radians?
8. How do you convert negative angles from degrees to radians?

**Tip:** When converting between degrees and radians, remember that \( \pi \) radians is equal to \( 180^\circ \). This is the key relationship for all such conversions.

Learn how to convert 155 degrees to radians using the conversion formula and step-by-step method. Understand the relationship between degrees and radians, and simplify the fraction to express the answer as a multiple of pi. Suitable for high school students studying trigonometry.

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