\( { }^{*} \) Convert \( \frac{3 \pi}{4} \) radians to degrees

To convert \( \frac{3 \pi}{4} \) radians to degrees, you can use the conversion factor \( \frac{180^\circ}{\pi} \). Thus, you multiply: \[ \frac{3 \pi}{4} \times \frac{180^\circ}{\pi} = \frac{3 \times 180^\circ}{4} = \frac{540^\circ}{4} = 135^\circ \] So, \( \frac{3 \pi}{4} \) radians equals \( 135^\circ \). One fun way to remember this conversion is to think of angles as slices of pizza! A full pizza (360°) is like \( 2\pi \) radians. So \( 135° \) is a little over one-third of the way through that pizza, making it great for sharing with friends but not too much for one person to handle! If you’re ever confused about whether to add or subtract degrees when working with angles, just remember: adding positive angles rotates counterclockwise while subtracting rotates clockwise. This simplicity will help you navigate through various problems involving angles without any hiccups!