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**"Convert 150° into radians and \(\frac{\pi}{4}\) into degrees."**

### 1. Convert 150° into radians:

We use the formula:
\[
\text{Radians} = \text{Degrees} \times \frac{\pi}{180}
\]
So for 150°:
\[
150° \times \frac{\pi}{180} = \frac{150\pi}{180} = \frac{5\pi}{6} \text{ radians}
\]

### 2. Convert \(\frac{\pi}{4}\) radians into degrees:

To convert radians to degrees, we use the formula:
\[
\text{Degrees} = \text{Radians} \times \frac{180}{\pi}
\]
So for \(\frac{\pi}{4}\):
\[
\frac{\pi}{4} \times \frac{180}{\pi} = \frac{180}{4} = 45°
\]

### Summary:
- 150° = \(\frac{5\pi}{6}\) radians
- \(\frac{\pi}{4}\) radians = 45°

Would you like more details on how the conversions work?

Here are 5 related questions to deepen your understanding:
1. How would you convert 120° into radians?
2. What is the degree equivalent of \(\frac{2\pi}{3}\) radians?
3. Can you convert 270° into radians?
4. What is the formula for converting radians back to degrees?
5. How many radians are there in a full circle (360°)?

**Tip**: Memorize that 180° equals \(\pi\) radians for faster conversions between degrees and radians!

Convert 150° into radians and π/4 into degrees.

Learn how to convert 150° into radians and π/4 radians into degrees using simple trigonometric formulas. This problem covers fundamental concepts of angle conversion and is suitable for students in Grades 9-10.

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