Problem 27
Question
Convert each angle in radians to degrees. $$-3 \pi$$
Step-by-Step Solution
Verified Answer
-540 degrees
1Step 1: Identify the angle in radians
The angle given is \(-3 \pi\) radians.
2Step 2: Apply the conversion factor
To convert from radians to degrees, we use the conversion factor which states that \( \pi \) radians is equal to 180 degrees. Therefore, to convert our angle into degrees, we multiply \(-3 \pi\) by the conversion factor (\(\frac{180}{\pi}\)).
3Step 3: Calculate the conversion
Performing the calculation, we have \(-3 \pi * \frac{180}{\pi} = -540\).
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