Convert \( \frac{\pi}{2} \) radians to degrees.

To convert \( \frac{\pi}{2} \) radians to degrees, you can use the conversion factor \( \frac{180}{\pi} \). Multiply \( \frac{\pi}{2} \) by \( \frac{180}{\pi} \): \[ \frac{\pi}{2} \times \frac{180}{\pi} = \frac{180}{2} = 90 \text{ degrees} \] So, \( \frac{\pi}{2} \) radians is equal to 90 degrees! Did you know that radians are directly tied to the circle's circumference? A full circle is \( 2\pi \) radians, which corresponds to 360 degrees. Think of radians as "natural" degrees to describe angles in the world of mathematics and physics due to their linkage with arc lengths! In practical applications, knowing how to switch between radians and degrees is crucial in fields like engineering, physics, and computer graphics. For instance, while programming animations, you might often need angles in radians, but if you're displaying angles to users, degrees can be more intuitive. Having both conversions at your fingertips helps you to tackle problems more efficiently in these areas!