degree-to-radian se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.
9 questions tagged with degree-to-radian.
B. \(14\pi\) मीटर\(14\pi\) m
\(40^\circ=\frac{2\pi}{9}\) रेडियन है। दूरी \(s=63\times\frac{2\pi}{9}=14\pi\) मीटर होगी। / \(40^\circ=\frac{2\pi}{9}\) radians. The distance is \(s=63\times\frac{2\pi}{9}=14\pi\) m.
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What is the radian measure of \(72^\circ\)?
B. \(\frac{2\pi}{5}\)
\(72^\circ\times\frac{\pi}{180}=\frac{2\pi}{5}\) होता है। सरलीकरण में (72) और (180) को (36) से भाग दें। / \(72^\circ\times\frac{\pi}{180}=\frac{2\pi}{5}\). Divide (72) and (180) by (36) while simplifying.
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Convert the angle \(54^\circ\) into radians.
A. \(\frac{3\pi}{10}\)
\(54^\circ\times\frac{\pi}{180}=\frac{3\pi}{10}\) होता है। डिग्री से रेडियन में जाने पर \(\frac{\pi}{180}\) लगाएं। / \(54^\circ\times\frac{\pi}{180}=\frac{3\pi}{10}\). Use \(\frac{\pi}{180}\) when converting degrees to radians.
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What is the radian form of \(198^\circ\)?
D. \( \frac{11\pi}{10} \) रेडियन\( \frac{11\pi}{10} \) radians
\(198^\circ=\frac{198\pi}{180}=\frac{11\pi}{10}\) है। \(180^\circ\) से थोड़ा बड़ा कोण \(\pi\) से थोड़ा बड़ा रेडियन देता है। / \(198^\circ=\frac{198\pi}{180}=\frac{11\pi}{10}\). An angle slightly greater than \(180^\circ\) gives a radian value slightly greater than \(\pi\).
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Which is the radian form of \(405^\circ\)?
D. \( \frac{9\pi}{4} \) रेडियन\( \frac{9\pi}{4} \) radians
\(405^\circ=\frac{405\pi}{180}=\frac{9\pi}{4}\) होता है। \(360^\circ\) से बड़े कोणों को भी उसी नियम से बदलें। / \(405^\circ=\frac{405\pi}{180}=\frac{9\pi}{4}\). Use the same rule even for angles greater than \(360^\circ\).
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Which is the radian form of \(195^\circ\)?
D. \( \frac{13\pi}{12} \) रेडियन\( \frac{13\pi}{12} \) radians
\(195^\circ=\frac{195\pi}{180}=\frac{13\pi}{12}\) है। डिग्री को (180) से भाग देकर \( \pi \) लगाएं। / \(195^\circ=\frac{195\pi}{180}=\frac{13\pi}{12}\). Divide the degree measure by (180) and attach \( \pi \).
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What is \(300^\circ\) in radians?
A. \( \frac{5\pi}{3} \) रेडियन\( \frac{5\pi}{3} \) radians
\(300^\circ=\frac{300\pi}{180}=\frac{5\pi}{3}\) है। \(60^\circ\) के गुणजों को पहचानना लाभदायक है। / \(300^\circ=\frac{300\pi}{180}=\frac{5\pi}{3}\). Recognizing multiples of \(60^\circ\) is helpful.
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What will be the radian measure of \(30^\circ\)?
D. \( \frac{\pi}{6} \) रेडियन\( \frac{\pi}{6} \) radians
\(30^\circ=\frac{30\pi}{180}=\frac{\pi}{6}\) है। डिग्री से रेडियन में \( \frac{\pi}{180} \) से गुणा करें। / \(30^\circ=\frac{30\pi}{180}=\frac{\pi}{6}\). Multiply degrees by \( \frac{\pi}{180} \) to convert to radians.
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What is the radian measure of \(90^\circ\)?
B. \(\frac{\pi}{2}\)
\(90^\circ\), \(180^\circ\) का आधा है इसलिए रेडियन \(\frac{\pi}{2}\) होगा। आधे कोण में रेडियन भी आधा होता है। / \(90^\circ\) is half of \(180^\circ\), so its radian measure is \(\frac{\pi}{2}\). Half the angle means half the radian measure.
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