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To convert radians to degrees, we use the formula:

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

For the given value \(\frac{3\pi}{2}\), we apply this formula:

\[
\frac{3\pi}{2} \times \frac{180^\circ}{\pi} = \frac{3 \times 180^\circ}{2} = \frac{540^\circ}{2} = 270^\circ
\]

Thus, \(\frac{3\pi}{2}\) radians is equal to \(270^\circ\).

Would you like further details or explanations on this? Here are 5 related questions for practice:

1. Convert \(\pi\) radians to degrees.
2. Convert \(\frac{5\pi}{6}\) radians to degrees.
3. Convert \(2\pi\) radians to degrees.
4. Convert \(1\) radian to degrees.
5. Convert \(\frac{\pi}{4}\) radians to degrees.

**Tip:** To quickly convert between radians and degrees, remember that \(\pi\) radians is equivalent to \(180^\circ\).

Convert the following radian measure to degree measure: 3π/2

Learn how to convert 3π/2 radians to degrees using the formula Degrees = Radians × (180°/π). This problem is key for understanding trigonometric angle conversions, ideal for high school students studying trigonometry.

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