What is the radian measure of \(\frac{3}{8}\) of a complete revolution?
Answer and explanation
Correct answer: \(\frac{3\pi}{4}\)
One complete revolution measures \(2\pi\) radians. Therefore, \(\frac{3}{8}\) of a revolution is \(\frac{3}{8}\times 2\pi=\frac{3\pi}{4}\) radians. \(\frac{\pi}{2}\) represents only \(\frac{1}{4}\) of a revolution, so it is not correct. Exam tip: To convert a fractional revolution into radians, multiply the fraction by \(2\pi\).
Frequently asked questions
What is the correct answer to this question?
\(\frac{3\pi}{4}\)
Why is this the correct answer?
One complete revolution measures \(2\pi\) radians. Therefore, \(\frac{3}{8}\) of a revolution is \(\frac{3}{8}\times 2\pi=\frac{3\pi}{4}\) radians. \(\frac{\pi}{2}\) represents only \(\frac{1}{4}\) of a revolution, so it is not correct. Exam tip: To convert a fractional revolution into radians, multiply the fraction by \(2\pi\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
