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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 \(2\pi\).

Related tags

Trigonometric FunctionsAnglesRadian MeasureComplete RevolutionAngle ConversionMathematicsClass 12 Mcq

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