Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

6. convert from radians to degrees. show all work. you can type pi for …

Question

  1. convert from radians to degrees. show all work. you can type pi for the symbol π. \\(\frac{3}{4}\\)π

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 \( \frac{3}{4}\pi \) radians. Substitute this into the formula: \( \frac{3}{4}\pi \times \frac{180^\circ}{\pi} \).

Step3: Simplify the expression

The \( \pi \) terms cancel out, leaving \( \frac{3}{4} \times 180^\circ \). Calculate \( \frac{3 \times 180^\circ}{4} = \frac{540^\circ}{4} = 135^\circ \).

Answer:

\( 135^\circ \)