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Chapter 4: Problem 38

Convert each angle in radians to degrees. Round to two decimal places. $$\frac{\pi}{17} \text { radians }$$

Short Answer

Expert verified
The value of \(\frac{\pi}{17}\) radians in degrees, rounded to two decimal places, is approximately 10.59 degrees.

Step by step solution

01

Know the Conversion Factor

Remember that the conversion factor between radians and degrees is that there are 180 degrees in \(\pi\) radians, or, equivalently, \(\frac{180}{\pi}\) degrees in 1 radian.
02

Apply the Conversion Factor

To convert the given angle from radians to degrees, multiply the radian measure by the conversion factor. This results in an expression \(\frac{\pi}{17} \cdot \frac{180}{\pi}\). Notice how the \(\pi\) in the numerator and denominator will cancel each other.
03

Perform the Calculation

Finally, calculate the resulting expression. This will give a numerical value for the degree measure which should be rounded to two decimal places as instructed by the problem.

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