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

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

For the given problem, you need to convert \(225^\circ\) to radians:

\[
225^\circ \times \frac{\pi}{180}
\]

Let's simplify this:

\[
225 \times \frac{\pi}{180} = \frac{225}{180} \pi
\]

Simplify the fraction \(\frac{225}{180}\):

\[
\frac{225}{180} = \frac{5}{4}
\]

So:

\[
225^\circ = \frac{5\pi}{4} \text{ radians}
\]

### Final Answer:
\[
225^\circ = \frac{5\pi}{4} \text{ radians}
\]

Do you have any questions about this conversion, or would you like me to explain anything in more detail?

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Here are 5 related questions to expand your understanding:

1. How do you convert \(120^\circ\) to radians?
2. What is the radian equivalent of \(315^\circ\)?
3. If an angle is \(\frac{3\pi}{2}\) radians, how would you convert it back to degrees?
4. Why do we use the factor \(\frac{\pi}{180}\) to convert degrees to radians?
5. How many radians are in a full circle?

**Tip:** To convert from radians to degrees, multiply by \(\frac{180}{\pi}\).

Convert the following degree measure to radian measure: 225°

Learn how to convert 225° to radians using the formula Radians = Degrees × π / 180. This trigonometry problem demonstrates key concepts for high school students and simplifies 225° to 5π/4 radians.

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