\(\frac{7\pi}{2}\) radians is equal to how many revolutions?
Answer and explanation
Correct answer: \(\frac{7}{4}\)
One complete revolution measures \(2\pi\) radians. Therefore, the number of revolutions is \(\frac{7\pi}{2}\div 2\pi=\frac{7}{4}\). Hence, the correct answer is \(\frac{7}{4}\) revolutions. \(\frac{3}{2}\) revolutions equals only \(3\pi\) radians, so it is not correct. Exam tip: To convert radians into revolutions, divide the angle by \(2\pi\).
Frequently asked questions
What is the correct answer to this question?
\(\frac{7}{4}\)
Why is this the correct answer?
One complete revolution measures \(2\pi\) radians. Therefore, the number of revolutions is \(\frac{7\pi}{2}\div 2\pi=\frac{7}{4}\). Hence, the correct answer is \(\frac{7}{4}\) revolutions. \(\frac{3}{2}\) revolutions equals only \(3\pi\) radians, so it is not correct. Exam tip: To convert radians into revolutions, divide the angle by \(2\pi\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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