To convert \(-225^\circ\) to radians, use the formula:

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

1. Substitute \(-225\) for degrees:
   \[
   -225 \times \frac{\pi}{180}
   \]

2. Simplify the fraction:
   \[
   -\frac{225}{180} \pi = -\frac{5}{4} \pi
   \]

So, \(-225^\circ\) in radians is:

\[
-\frac{5\pi}{4}
\]

Would you like a breakdown of the simplification steps, or have any questions?

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1. How do you convert positive degrees to radians?
2. What is the radian equivalent of \(-90^\circ\)?
3. How do you convert radians back to degrees?
4. Why is \(\pi\) used in radian conversions?
5. How does \(-225^\circ\) relate to the unit circle?

**Tip:** In trigonometry, always reduce fractions when converting angles to radians for cleaner, standard results.

Convert -225 degrees to radians using the degree-to-radian formula. Learn the step-by-step solution to find that -225° equals -5π/4 radians. This guide is perfect for high school students studying trigonometry and angle conversion.

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