Question

convert $\frac{pi}{8}$ radians to degrees. $\frac{pi}{8}$ radians $= square^circ$

Explanation:

Step1: Recall radian-degree conversion

We know $\pi$ radians $= 180^\circ$, so 1 radian $= \frac{180^\circ}{\pi}$.

Step2: Multiply by conversion factor

Multiply $\frac{\pi}{8}$ by $\frac{180^\circ}{\pi}$ to convert to degrees.
$\frac{\pi}{8} \times \frac{180^\circ}{\pi}$

Step3: Simplify the expression

Cancel $\pi$, then calculate $\frac{180}{8}$.
$\frac{180}{8} = 22.5$

Answer:

$22.5^\circ$