Convert the angle start fraction, pi, divided by, 2, end fraction 2π​ radians to degrees.

1. Break Down the Problem

We need to convert the angle given in radians, which is $\frac{\pi}{2}$ radians, to degrees.

2. Relevant Concepts

To convert radians to degrees, we use the conversion factor: $1 \text{ radian} = \frac{180}{\pi} \text{ degrees}$

3. Analysis and Detail

To find the degree measure of $\frac{\pi}{2}$ radians, we will multiply by the conversion factor: $\text{Degrees} = \left( \frac{\pi}{2} \text{ radians} \right) \times \left( \frac{180}{\pi} \right)$

4. Verify and Summarize

Now we simplify the expression: $\text{Degrees} = \frac{\pi \times 180}{2 \times \pi} = \frac{180}{2} = 90 \text{ degrees}$

Final Answer

The angle $\frac{\pi}{2}$ radians is equal to $90$ degrees.