Problem 35
Question
Convert each angle in radians to degrees. Round to two decimal places. 2 radians
Step-by-Step Solution
Verified Answer
The conversion yields approximately 114.59 degrees, when rounded to two decimal places.
1Step 1: Understand the Conversion Rate
The conversion rate between radians and degrees is 1 radian = 57.29577951308232 degrees. This is derived from the fact that the circle has 360 degrees and approximately \(2\pi\) radians (\(2\pi\) radians = 360 degrees).
2Step 2: Apply the Conversion Rate
To convert the given angle in radians to degrees, simply multiply the value in radians with the conversion ratio. In this case, \(2 \times 57.29577951308232\) degrees.
3Step 3: Round to Two Decimal Places
After the multiplication, the result should be rounded to two decimal places as per the problem's requirement, ensuring accuracy up to two decimal places.
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