Concept-wise Practice

radian-degree MCQ Questions for Class 11

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Practice Questions

8 questions tagged with radian-degree.

किसी कोण का डिग्री माप उसके रेडियन माप के (60) गुना के बराबर है। वह कोण रेडियन में क्या है?

The degree measure of an angle is equal to (60) times its radian measure. What is the angle in radians?

Explanation opens after your attempt
Correct Answer

A. कोई अशून्य कोण संभव नहींNo non-zero angle is possible

Step 1

Concept

Degree measure is \(x\cdot\frac{180}{\pi}\). \(x\cdot\frac{180}{\pi}=60x\) is possible only for (x=0).

Step 2

Why this answer is correct

The correct answer is A. कोई अशून्य कोण संभव नहीं / No non-zero angle is possible. Degree measure is \(x\cdot\frac{180}{\pi}\). \(x\cdot\frac{180}{\pi}=60x\) is possible only for (x=0).

Step 3

Exam Tip

डिग्री माप \(x\cdot\frac{180}{\pi}\) होता है। \(x\cdot\frac{180}{\pi}=60x\) केवल (x=0) पर संभव है।

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यदि \(x^\circ=\frac{11\pi}{36}\) रेडियन है, तो (x) का मान क्या है?

If \(x^\circ=\frac{11\pi}{36}\) radians, what is the value of (x)?

Explanation opens after your attempt
Correct Answer

D. (55)

Step 1

Concept

\(\frac{11\pi}{36}\times\frac{180^\circ}{\pi}=55^\circ\). In exams, cancel \(\pi\) first.

Step 2

Why this answer is correct

The correct answer is D. (55). \(\frac{11\pi}{36}\times\frac{180^\circ}{\pi}=55^\circ\). In exams, cancel \(\pi\) first.

Step 3

Exam Tip

\(\frac{11\pi}{36}\times\frac{180^\circ}{\pi}=55^\circ\)। परीक्षा में \(\pi\) को पहले काटें।

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कोण \(150^\circ\) को रेडियन में बदलने पर कौन सा मान मिलता है?

Which value is obtained when the angle \(150^\circ\) is converted into radians?

Explanation opens after your attempt
Correct Answer

C. \(\frac{5\pi}{6}\)

Step 1

Concept

Multiply degrees by \( \frac{\pi}{180} \) to convert into radians. In exams identify multiples of \(30^\circ\) quickly.

Step 2

Why this answer is correct

The correct answer is C. \(\frac{5\pi}{6}\). Multiply degrees by \( \frac{\pi}{180} \) to convert into radians. In exams identify multiples of \(30^\circ\) quickly.

Step 3

Exam Tip

डिग्री को रेडियन में बदलने के लिए \( \frac{\pi}{180} \) से गुणा करते हैं। परीक्षा में \(30^\circ\) के गुणकों को जल्दी पहचानें।

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\( \frac{37\pi}{15} \) रेडियन को डिग्री में बदलने पर कौन सा मान मिलेगा?

Which value is obtained by converting \( \frac{37\pi}{15} \) radians into degrees?

Explanation opens after your attempt
Correct Answer

B. \(444^\circ\)

Step 1

Concept

\( \frac{37\pi}{15}\times\frac{180^\circ}{\pi}=444^\circ\). If the denominator is (15), use \(180^\circ\div15=12^\circ\).

Step 2

Why this answer is correct

The correct answer is B. \(444^\circ\). \( \frac{37\pi}{15}\times\frac{180^\circ}{\pi}=444^\circ\). If the denominator is (15), use \(180^\circ\div15=12^\circ\).

Step 3

Exam Tip

\( \frac{37\pi}{15}\times\frac{180^\circ}{\pi}=444^\circ\) है। हर (15) हो तो \(180^\circ\div15=12^\circ\) लें।

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\( \frac{11\pi}{15} \) रेडियन का डिग्री माप क्या है?

What is the degree measure of \( \frac{11\pi}{15} \) radians?

Explanation opens after your attempt
Correct Answer

C. \(132^\circ\)

Step 1

Concept

\( \frac{11\pi}{15}\times\frac{180^\circ}{\pi}=132^\circ\). Calculate \(180^\circ\div15=12^\circ\) and multiply.

Step 2

Why this answer is correct

The correct answer is C. \(132^\circ\). \( \frac{11\pi}{15}\times\frac{180^\circ}{\pi}=132^\circ\). Calculate \(180^\circ\div15=12^\circ\) and multiply.

Step 3

Exam Tip

\( \frac{11\pi}{15}\times\frac{180^\circ}{\pi}=132^\circ\) है। \(180^\circ\div15=12^\circ\) करके गुणा करें।

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\( \frac{7\pi}{5} \) रेडियन को डिग्री में बदलने पर सही मान क्या है?

What is the correct degree value of \( \frac{7\pi}{5} \) radians?

Explanation opens after your attempt
Correct Answer

C. \(252^\circ\)

Step 1

Concept

\( \frac{7\pi}{5}\times \frac{180^\circ}{\pi}=252^\circ\). If the denominator is (5), take \(180^\circ\div 5=36^\circ\).

Step 2

Why this answer is correct

The correct answer is C. \(252^\circ\). \( \frac{7\pi}{5}\times \frac{180^\circ}{\pi}=252^\circ\). If the denominator is (5), take \(180^\circ\div 5=36^\circ\).

Step 3

Exam Tip

\( \frac{7\pi}{5}\times \frac{180^\circ}{\pi}=252^\circ\) है। हर (5) हो तो \(180^\circ\div 5=36^\circ\) लें।

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\( \frac{13\pi}{12} \) रेडियन को डिग्री में बदलने पर क्या मिलेगा?

What is obtained by converting \( \frac{13\pi}{12} \) radians into degrees?

Explanation opens after your attempt
Correct Answer

D. \(195^\circ\)

Step 1

Concept

\( \frac{13\pi}{12}\times \frac{180^\circ}{\pi}=195^\circ\). Remember \( \frac{\pi}{12}=15^\circ\).

Step 2

Why this answer is correct

The correct answer is D. \(195^\circ\). \( \frac{13\pi}{12}\times \frac{180^\circ}{\pi}=195^\circ\). Remember \( \frac{\pi}{12}=15^\circ\).

Step 3

Exam Tip

\( \frac{13\pi}{12}\times \frac{180^\circ}{\pi}=195^\circ\) होता है। \( \frac{\pi}{12}=15^\circ\) याद रखें।

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\(\frac{\pi}{6}\) रेडियन कितने डिग्री के बराबर है?

\(\frac{\pi}{6}\) radians is equal to how many degrees?

Explanation opens after your attempt
Correct Answer

C. \(30^\circ\)

Step 1

Concept

Multiplying \(\frac{\pi}{6}\) by \(180^\circ\) gives \(30^\circ\). The \(\pi\) cancels out.

Step 2

Why this answer is correct

The correct answer is C. \(30^\circ\). Multiplying \(\frac{\pi}{6}\) by \(180^\circ\) gives \(30^\circ\). The \(\pi\) cancels out.

Step 3

Exam Tip

\(\frac{\pi}{6}\) को \(180^\circ\) से गुणा करने पर \(30^\circ\) मिलता है। \(\pi\) कट जाता है।

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