Ohio Assessments for Educators (OAE) Mathematics Practice Exam

Question: 1 / 400

Which angle is represented by π/3 in degrees?

30 degrees

45 degrees

60 degrees

To convert the angle from radians to degrees, you can use the conversion factor that \(180^\circ\) is equivalent to \(\pi\) radians. Therefore, to convert \(\frac{\pi}{3}\) radians into degrees, you can use the formula:

\[

\text{Degrees} = \text{Radians} \times \left(\frac{180^\circ}{\pi}\right)

\]

Substituting in the value:

\[

\text{Degrees} = \frac{\pi}{3} \times \left(\frac{180^\circ}{\pi}\right)

\]

The \(\pi\) values cancel out, leading to:

\[

\text{Degrees} = \frac{180^\circ}{3} = 60^\circ

\]

This demonstrates that \(\frac{\pi}{3}\) radians is indeed equivalent to \(60^\circ\). Understanding how to convert between radians and degrees is essential in trigonometry and helps in comprehending various mathematical concepts related to angles.

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