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!

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.