Question

1. convert from radians to degrees. you can type pi for the symbol π.

\frac{1}{4}\pi

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, we use the formula: \( \text{Degrees} = \text{Radians} \times \frac{180^\circ}{\pi} \).

Step2: Substitute the given radian measure

We are given \( \frac{1}{4}\pi \) radians. Substitute this into the formula:
\( \text{Degrees} = \frac{1}{4}\pi \times \frac{180^\circ}{\pi} \)

Step3: Simplify the expression

The \( \pi \) terms cancel out:
\( \text{Degrees} = \frac{1}{4} \times 180^\circ \)
\( \text{Degrees} = 45^\circ \)

Answer:

\( 45^\circ \)