Question

convert the following radian measure to degree measure.
\\(\frac{pi}{4}\\)

Explanation:

Step1: Recall the conversion formula

To convert radians to degrees, we use the formula: Degree measure = Radian measure × $\frac{180^\circ}{\pi}$.

Step2: Substitute the given radian measure

We are given the radian measure $\frac{\pi}{4}$. Substitute this into the formula: Degree measure = $\frac{\pi}{4}$ × $\frac{180^\circ}{\pi}$.

Step3: Simplify the expression

The $\pi$ in the numerator and denominator cancels out, leaving us with $\frac{180^\circ}{4}$.

Step4: Calculate the result

$\frac{180^\circ}{4} = 45^\circ$.

Answer:

$45^\circ$