Problem

Convert the following degree measure to radian measure.
\[
60^{\circ}
\]

Answer

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Answer

\(\boxed{\pi/3}\) radians is the final answer.

Steps

Step 1 :Understand the problem: We are asked to convert a degree measure to a radian measure.

Step 2 :Recall the conversion factor: We know that \(\pi\) radians is equal to 180 degrees.

Step 3 :Set up the conversion: We can set up the conversion as follows: \(60\) degrees * \((\pi\) radians / 180 degrees)

Step 4 :Perform the calculation: The degrees cancel out, leaving us with: \(60 * \pi / 180 = \pi/3\) radians

Step 5 :Simplify the result: The result is already in its simplest form.

Step 6 :Check the result: The result is a radian measure, as required by the problem.

Step 7 :\(\boxed{\pi/3}\) radians is the final answer.

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