Question

convert the following radian measure to degree measure. (\frac{3pi}{4}) (\frac{3pi}{4} = square^circ)

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 have the radian measure $\frac{3\pi}{4}$. Substitute it into the formula: Degree measure = $\frac{3\pi}{4}$ × $\frac{180^\circ}{\pi}$.

Step3: Simplify the expression

The $\pi$ in the numerator and denominator cancels out. So we have $\frac{3}{4}$ × $180^\circ$. Calculate $\frac{3\times180^\circ}{4}$ = $\frac{540^\circ}{4}$ = $135^\circ$.

Answer:

$135^\circ$