Convert (120^\circ) into radians.
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Answer and explanation
Correct answer: \(\frac{2\pi}{3}\)
To convert degrees to radians, multiply the angle by \(\frac{\pi}{180}\). Thus, \(120^\circ=120\times\frac{\pi}{180}=\frac{2\pi}{3}\) radians. Note that \(\frac{5\pi}{6}\) radians equals \(150^\circ\), so it is not correct here. Exam tip: Remember that \(180^\circ=\pi\) radians.
Frequently asked questions
What is the correct answer to this question?
\(\frac{2\pi}{3}\)
Why is this the correct answer?
To convert degrees to radians, multiply the angle by \(\frac{\pi}{180}\). Thus, \(120^\circ=120\times\frac{\pi}{180}=\frac{2\pi}{3}\) radians. Note that \(\frac{5\pi}{6}\) radians equals \(150^\circ\), so it is not correct here. Exam tip: Remember that \(180^\circ=\pi\) radians.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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