Convert Between Degrees and Radians Practice Problems

You have ten (10) practice problems to help you sharpen your skills in converting between degrees and radians. Good luck!

Problem 1: Convert \(90^\circ\) to radians.

Answer

\(\Large{\pi \over 2}\) radians

Problem 2: Convert \(120^\circ\) to radians.

Answer

\(\Large{{2\pi } \over 3}\) radians

Problem 3: Convert \(-135^\circ\) to radians.

Answer

\(\Large{{ – 3\pi } \over 4}\) radians

Problem 4: Convert \(240^\circ\) to radians.

Answer

\(\Large{{4\pi } \over 3}\) radians

Problem 5: Convert \(-315^\circ\) to radians.

Answer

\(\Large{{ – 7\pi } \over 4}\) radians

Problem 6: Convert \(2\pi\) radians to degrees.

Answer

\(360^\circ\)

Problem 7: Convert \(\Large{{5\pi } \over 6}\) radians to degrees.

Answer

\(150^\circ\)

Problem 8: Convert \(\pi\) radians to degrees.

Answer

\(180^\circ\)

Problem 9: Convert \(\Large{{4\pi } \over 3}\) radians to degrees.

Answer

\(240^\circ\)

Problem 10: Convert \(\Large{{5\pi } \over 4}\) radians to degrees.

Answer

\(225^\circ\)

---

You might also like these tutorials:

Converting Between Degrees and Radians