Ohio Assessments for Educators (OAE) Mathematics Practice Exam

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What is the degree measure equivalent to π/6?

30 degrees
45 degrees
60 degrees
90 degrees

The correct answer is: 30 degrees

To understand why 30 degrees is the correct degree measure equivalent to π/6, it's important to recognize how radians convert to degrees. The formula used for this conversion is: Degrees = Radians × (180/π). Applying this formula to the given angle: Degrees = (π/6) × (180/π). The π in the numerator and denominator cancels out, leading to: Degrees = 180/6, which simplifies to: Degrees = 30. Thus, π/6 is equivalent to 30 degrees. This is why the correct answer is 30 degrees, reflecting the established relationship between radians and degrees within the context of trigonometry.