Questions: Convert the following angle in radians to degrees. 4.49

Convert the following angle in radians to degrees. 4.49
Transcript text: Convert the following angle in radians to degrees. \[ 4.49 \]
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Solution

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Solution Steps

To convert an angle from radians to degrees, we use the formula: \[ \text{degrees} = \text{radians} \times \left(\frac{180}{\pi}\right) \] We will use this formula to convert the given angle of 4.49 radians to degrees.

Step 1: Given Angle in Radians

The given angle is \(4.49\) radians.

Step 2: Conversion Factor

The conversion factor from radians to degrees is: \[ \frac{180}{\pi} \approx 57.2958 \]

Step 3: Convert Radians to Degrees

To convert the given angle from radians to degrees, we multiply the angle by the conversion factor: \[ \text{degrees} = 4.49 \times 57.2958 \approx 257.2581 \]

Final Answer

\(\boxed{257.2581}\) degrees

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