Problem

Convert the given radian measure to degree measure. \[ \frac{\pi}{30} \text { radian } \] (Give an exact answer. Use symbolic notation and fractions where needed. Include the degree symbol in answer.) \[ \frac{\pi}{30} \text { radian }= \]

Solution

Step 1 :Given the radian measure as \(\frac{\pi}{30}\) radian.

Step 2 :We need to convert this radian measure to degree measure.

Step 3 :We know that \(\pi\) radians is equal to 180 degrees.

Step 4 :So, we can use the conversion factor \(\frac{180}{\pi}\) to convert radians to degrees.

Step 5 :Multiplying the given radian measure by the conversion factor, we get \(\frac{\pi}{30} \times \frac{180}{\pi}\).

Step 6 :Simplifying this, we get the degree measure as 6.

Step 7 :Final Answer: The degree measure of \(\frac{\pi}{30}\) radian is \(\boxed{6^{\circ}}\).

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Source: https://solvelyapp.com/problems/6W7Qa52mJm/

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