\(\frac{\pi}{2}\) radians is equal to how many degrees?
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Answer and explanation
Correct answer: \(90^\circ\)
Since \(\pi\) radians = \(180^\circ\), \(\frac{\pi}{2}\) radians = \(\frac{180^\circ}{2}=90^\circ\). Thus, it is a right angle and one-quarter of a complete revolution. \(45^\circ\) corresponds to \(\frac{\pi}{4}\) radians. Exam tip: multiply radians by \(\frac{180^\circ}{\pi}\) to convert them into degrees.
Frequently asked questions
What is the correct answer to this question?
\(90^\circ\)
Why is this the correct answer?
Since \(\pi\) radians = \(180^\circ\), \(\frac{\pi}{2}\) radians = \(\frac{180^\circ}{2}=90^\circ\). Thus, it is a right angle and one-quarter of a complete revolution. \(45^\circ\) corresponds to \(\frac{\pi}{4}\) radians. Exam tip: multiply radians by \(\frac{180^\circ}{\pi}\) to convert them into degrees.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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