https://file.aiquickdraw.com/mathbot/file/1730559341888f0pvetcx.jpg

To convert radians to degrees, we use the formula:

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

Let's convert each option:

### (a) \(\frac{\pi}{2}\)
\[
\frac{\pi}{2} \times \frac{180^\circ}{\pi} = 90^\circ
\]

### (b) \(\frac{\pi}{4}\)
\[
\frac{\pi}{4} \times \frac{180^\circ}{\pi} = 45^\circ
\]

### (c) \(\frac{2\pi}{3}\)
\[
\frac{2\pi}{3} \times \frac{180^\circ}{\pi} = 120^\circ
\]

### (d) \(\frac{\pi}{6}\)
\[
\frac{\pi}{6} \times \frac{180^\circ}{\pi} = 30^\circ
\]

### Summary of Answers
- (a) \(\frac{\pi}{2} = 90^\circ\)
- (b) \(\frac{\pi}{4} = 45^\circ\)
- (c) \(\frac{2\pi}{3} = 120^\circ\)
- (d) \(\frac{\pi}{6} = 30^\circ\)

Let me know if you need further details or have any questions!

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Here are some additional questions to explore:
1. How would you convert 1 radian into degrees?
2. What is the degree measure of \(3\pi\) radians?
3. Can you convert 45 degrees back into radians?
4. What is the radian equivalent of a full 360-degree circle?
5. If an angle measures \( \frac{5\pi}{6} \), what is its degree equivalent?

**Tip:** To easily convert radians to degrees, remember that \(\pi\) radians is equal to 180 degrees.

Convert the radian measure to degrees: (a) π/2, (b) π/4, (c) 2π/3, (d) π/6

Learn how to convert radian measures to degrees using examples such as π/2, π/4, 2π/3, and π/6. This problem involves the formula Degrees = Radians × (180° / π), ideal for students in high school math.

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