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To convert degrees to radians, we use the formula:

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

Let’s apply this formula to both parts:

### Part (a): \(330^\circ\)
\[
330^\circ \times \frac{\pi}{180} = \frac{330 \pi}{180} = \frac{11 \pi}{6}
\]
So, \(330^\circ\) in radians is \(\frac{11\pi}{6}\).

### Part (b): \(-225^\circ\)
\[
-225^\circ \times \frac{\pi}{180} = \frac{-225 \pi}{180} = -\frac{5 \pi}{4}
\]
Thus, \(-225^\circ\) in radians is \(-\frac{5\pi}{4}\).

Would you like further details on the steps?

Here are some additional questions to explore this topic:
1. How would you convert 45° to radians?
2. What is the radian measure for 180°?
3. How does converting negative degree measures differ from positive ones?
4. What is the degree measure for \(\frac{\pi}{2}\) radians?
5. How can you express radians in terms of degrees using \(\frac{180}{\pi}\)?

**Tip:** Remember, \(\pi\) radians equals 180°, so to convert between degrees and radians, you can use \(\pi/180\) for degrees to radians and \(180/\pi\) for radians to degrees.

Find the radian measure that corresponds to each degree measure: a) 330° b) -225°

Learn how to convert degree measures to radian measures using the formula radians = degrees * (π / 180). This example includes converting 330° and -225° to radians, covering essential concepts in trigonometry. Suitable for high school students in Grades 9-12.

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