Search: angle-conversion

Question Expert Mathematics Trigonometric Functions Angles Class 11 Level 68

कोण \(18^\circ24'\) को रेडियन में बदलें।

Convert the angle \(18^\circ24'\) into radians.

Explanation opens after your attempt

Correct Answer

B. \(\frac{23\pi}{225}\)

Step 1

Concept

\(18^\circ24'=\frac{92}{5}^\circ\). In radians it is \(\frac{92}{5}\times\frac{\pi}{180}=\frac{23\pi}{225}\).

Step 2

Why this answer is correct

The correct answer is B. \(\frac{23\pi}{225}\). \(18^\circ24'=\frac{92}{5}^\circ\). In radians it is \(\frac{92}{5}\times\frac{\pi}{180}=\frac{23\pi}{225}\).

Step 3

Exam Tip

\(18^\circ24'=\frac{92}{5}^\circ\) है। रेडियन में \(\frac{92}{5}\times\frac{\pi}{180}=\frac{23\pi}{225}\) होगा।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Expert
Level: 68

Question Hindi:
कोण (18^\circ24') को रेडियन में बदलें।

Question English:
Convert the angle (18^\circ24') into radians.

Options:
A. (\frac{19\pi}{225})
B. (\frac{23\pi}{225})
C. (\frac{29\pi}{225})
D. (\frac{31\pi}{225})

Correct Answer:
B. (\frac{23\pi}{225})

Explanation Hindi:
(18^\circ24'=\frac{92}{5}^\circ) है। रेडियन में (\frac{92}{5}\times\frac{\pi}{180}=\frac{23\pi}{225}) होगा।

Explanation English:
(18^\circ24'=\frac{92}{5}^\circ). In radians it is (\frac{92}{5}\times\frac{\pi}{180}=\frac{23\pi}{225}).

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Question Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

कोण \(12^\circ30'\) का रेडियन माप क्या है?

What is the radian measure of \(12^\circ30'\)?

Explanation opens after your attempt

Correct Answer

A. \(\frac{5\pi}{72}\)

Step 1

Concept

\(12^\circ30'=12.5^\circ=\frac{25}{2}^\circ\). In radians it is \(\frac{25}{2}\times\frac{\pi}{180}=\frac{5\pi}{72}\).

Step 2

Why this answer is correct

The correct answer is A. \(\frac{5\pi}{72}\). \(12^\circ30'=12.5^\circ=\frac{25}{2}^\circ\). In radians it is \(\frac{25}{2}\times\frac{\pi}{180}=\frac{5\pi}{72}\).

Step 3

Exam Tip

\(12^\circ30'=12.5^\circ=\frac{25}{2}^\circ\) होता है। रेडियन में \(\frac{25}{2}\times\frac{\pi}{180}=\frac{5\pi}{72}\) है।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
कोण (12^\circ30') का रेडियन माप क्या है?

Question English:
What is the radian measure of (12^\circ30')?

Options:
A. (\frac{5\pi}{72})
B. (\frac{7\pi}{72})
C. (\frac{11\pi}{144})
D. (\frac{13\pi}{144})

Correct Answer:
A. (\frac{5\pi}{72})

Explanation Hindi:
(12^\circ30'=12.5^\circ=\frac{25}{2}^\circ) होता है। रेडियन में (\frac{25}{2}\times\frac{\pi}{180}=\frac{5\pi}{72}) है।

Explanation English:
(12^\circ30'=12.5^\circ=\frac{25}{2}^\circ). In radians it is (\frac{25}{2}\times\frac{\pi}{180}=\frac{5\pi}{72}).

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Question Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

\(72^\circ\) का रेडियन माप क्या है?

What is the radian measure of \(72^\circ\)?

Explanation opens after your attempt

Correct Answer

B. \(\frac{2\pi}{5}\)

Step 1

Concept

\(72^\circ\times\frac{\pi}{180}=\frac{2\pi}{5}\). Divide (72) and (180) by (36) while simplifying.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{2\pi}{5}\). \(72^\circ\times\frac{\pi}{180}=\frac{2\pi}{5}\). Divide (72) and (180) by (36) while simplifying.

Step 3

Exam Tip

\(72^\circ\times\frac{\pi}{180}=\frac{2\pi}{5}\) होता है। सरलीकरण में (72) और (180) को (36) से भाग दें।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
(72^\circ) का रेडियन माप क्या है?

Question English:
What is the radian measure of (72^\circ)?

Options:
A. (\frac{\pi}{5})
B. (\frac{2\pi}{5})
C. (\frac{3\pi}{5})
D. (\frac{4\pi}{5})

Correct Answer:
B. (\frac{2\pi}{5})

Explanation Hindi:
(72^\circ\times\frac{\pi}{180}=\frac{2\pi}{5}) होता है। सरलीकरण में (72) और (180) को (36) से भाग दें।

Explanation English:
(72^\circ\times\frac{\pi}{180}=\frac{2\pi}{5}). Divide (72) and (180) by (36) while simplifying.

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Question Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

\(\frac{\pi}{9}\) रेडियन कितने डिग्री के बराबर है?

How many degrees are equal to \(\frac{\pi}{9}\) radians?

Explanation opens after your attempt

Correct Answer

B. \(20^\circ\)

Step 1

Concept

\(\frac{\pi}{9}\times\frac{180^\circ}{\pi}=20^\circ\). Multiply by \(\frac{180}{\pi}\) to convert radians into degrees.

Step 2

Why this answer is correct

The correct answer is B. \(20^\circ\). \(\frac{\pi}{9}\times\frac{180^\circ}{\pi}=20^\circ\). Multiply by \(\frac{180}{\pi}\) to convert radians into degrees.

Step 3

Exam Tip

\(\frac{\pi}{9}\times\frac{180^\circ}{\pi}=20^\circ\) है। रेडियन से डिग्री में जाने पर \(\frac{180}{\pi}\) से गुणा करें।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
(\frac{\pi}{9}) रेडियन कितने डिग्री के बराबर है?

Question English:
How many degrees are equal to (\frac{\pi}{9}) radians?

Options:
A. (10^\circ)
B. (20^\circ)
C. (30^\circ)
D. (40^\circ)

Correct Answer:
B. (20^\circ)

Explanation Hindi:
(\frac{\pi}{9}\times\frac{180^\circ}{\pi}=20^\circ) है। रेडियन से डिग्री में जाने पर (\frac{180}{\pi}) से गुणा करें।

Explanation English:
(\frac{\pi}{9}\times\frac{180^\circ}{\pi}=20^\circ). Multiply by (\frac{180}{\pi}) to convert radians into degrees.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
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Question Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

कोण \(54^\circ\) को रेडियन में बदलें।

Convert the angle \(54^\circ\) into radians.

Explanation opens after your attempt

Correct Answer

A. \(\frac{3\pi}{10}\)

Step 1

Concept

\(54^\circ\times\frac{\pi}{180}=\frac{3\pi}{10}\). Use \(\frac{\pi}{180}\) when converting degrees to radians.

Step 2

Why this answer is correct

The correct answer is A. \(\frac{3\pi}{10}\). \(54^\circ\times\frac{\pi}{180}=\frac{3\pi}{10}\). Use \(\frac{\pi}{180}\) when converting degrees to radians.

Step 3

Exam Tip

\(54^\circ\times\frac{\pi}{180}=\frac{3\pi}{10}\) होता है। डिग्री से रेडियन में जाने पर \(\frac{\pi}{180}\) लगाएं।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
कोण (54^\circ) को रेडियन में बदलें।

Question English:
Convert the angle (54^\circ) into radians.

Options:
A. (\frac{3\pi}{10})
B. (\frac{2\pi}{5})
C. (\frac{5\pi}{18})
D. (\frac{7\pi}{20})

Correct Answer:
A. (\frac{3\pi}{10})

Explanation Hindi:
(54^\circ\times\frac{\pi}{180}=\frac{3\pi}{10}) होता है। डिग्री से रेडियन में जाने पर (\frac{\pi}{180}) लगाएं।

Explanation English:
(54^\circ\times\frac{\pi}{180}=\frac{3\pi}{10}). Use (\frac{\pi}{180}) when converting degrees to radians.

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
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Question Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

रेडियन कोण \(\frac{17\pi}{12}\) का डिग्री माप क्या होगा?

What is the degree measure of the radian angle \(\frac{17\pi}{12}\)?

Explanation opens after your attempt

Correct Answer

B. \(255^\circ\)

Step 1

Concept

Multiply radians by \(\frac{180}{\pi}\) to convert into degrees. \(\frac{17\pi}{12}\times\frac{180}{\pi}=255^\circ\).

Step 2

Why this answer is correct

The correct answer is B. \(255^\circ\). Multiply radians by \(\frac{180}{\pi}\) to convert into degrees. \(\frac{17\pi}{12}\times\frac{180}{\pi}=255^\circ\).

Step 3

Exam Tip

रेडियन को डिग्री में बदलने के लिए \(\frac{180}{\pi}\) से गुणा करें। \(\frac{17\pi}{12}\times\frac{180}{\pi}=255^\circ\) है।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
रेडियन कोण (\frac{17\pi}{12}) का डिग्री माप क्या होगा?

Question English:
What is the degree measure of the radian angle (\frac{17\pi}{12})?

Options:
A. (245^\circ)
B. (255^\circ)
C. (265^\circ)
D. (275^\circ)

Correct Answer:
B. (255^\circ)

Explanation Hindi:
रेडियन को डिग्री में बदलने के लिए (\frac{180}{\pi}) से गुणा करें। (\frac{17\pi}{12}\times\frac{180}{\pi}=255^\circ) है।

Explanation English:
Multiply radians by (\frac{180}{\pi}) to convert into degrees. (\frac{17\pi}{12}\times\frac{180}{\pi}=255^\circ).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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Question Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

कोण \(23^\circ45'\) को रेडियन में बदलें।

Convert the angle \(23^\circ45'\) into radians.

Explanation opens after your attempt

Correct Answer

B. \(\frac{19\pi}{144}\)

Step 1

Concept

\(23^\circ45'=\frac{95}{4}^\circ\). In radians it is \(\frac{95}{4}\times\frac{\pi}{180}=\frac{19\pi}{144}\).

Step 2

Why this answer is correct

The correct answer is B. \(\frac{19\pi}{144}\). \(23^\circ45'=\frac{95}{4}^\circ\). In radians it is \(\frac{95}{4}\times\frac{\pi}{180}=\frac{19\pi}{144}\).

Step 3

Exam Tip

\(23^\circ45'=\frac{95}{4}^\circ\) होता है। रेडियन में \(\frac{95}{4}\times\frac{\pi}{180}=\frac{19\pi}{144}\) है।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
कोण (23^\circ45') को रेडियन में बदलें।

Question English:
Convert the angle (23^\circ45') into radians.

Options:
A. (\frac{17\pi}{144})
B. (\frac{19\pi}{144})
C. (\frac{23\pi}{144})
D. (\frac{25\pi}{144})

Correct Answer:
B. (\frac{19\pi}{144})

Explanation Hindi:
(23^\circ45'=\frac{95}{4}^\circ) होता है। रेडियन में (\frac{95}{4}\times\frac{\pi}{180}=\frac{19\pi}{144}) है।

Explanation English:
(23^\circ45'=\frac{95}{4}^\circ). In radians it is (\frac{95}{4}\times\frac{\pi}{180}=\frac{19\pi}{144}).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
3. 8-15 sec: Animate A/B/C/D option cards one by one.
4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
6. 23-30 sec: Show short explanation with one exam tip.
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Question Hard Mathematics Trigonometric Functions Angles Class 11 Level 69

यदि कोई कोण (3150') है तो उसका रेडियन माप क्या होगा?

If an angle is (3150') then what is its radian measure?

Explanation opens after your attempt

Correct Answer

B. \(\frac{7\pi}{24}\)

Step 1

Concept

\(3150'=52.5^\circ\) and \(52.5^\circ=\frac{7\pi}{24}\). Convert minutes into degrees first.

Step 2

Why this answer is correct

The correct answer is B. \(\frac{7\pi}{24}\). \(3150'=52.5^\circ\) and \(52.5^\circ=\frac{7\pi}{24}\). Convert minutes into degrees first.

Step 3

Exam Tip

\(3150'=52.5^\circ\) और \(52.5^\circ=\frac{7\pi}{24}\) है। पहले मिनट को डिग्री में बदलें।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Hard
Level: 69

Question Hindi:
यदि कोई कोण (3150') है तो उसका रेडियन माप क्या होगा?

Question English:
If an angle is (3150') then what is its radian measure?

Options:
A. (\frac{5\pi}{24})
B. (\frac{7\pi}{24})
C. (\frac{11\pi}{24})
D. (\frac{13\pi}{24})

Correct Answer:
B. (\frac{7\pi}{24})

Explanation Hindi:
(3150'=52.5^\circ) और (52.5^\circ=\frac{7\pi}{24}) है। पहले मिनट को डिग्री में बदलें।

Explanation English:
(3150'=52.5^\circ) and (52.5^\circ=\frac{7\pi}{24}). Convert minutes into degrees first.

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Question Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

\(-120^\circ\) का \(0^\circ\) से \(360^\circ\) के बीच सह-अंतिम कोण कौन सा है?

Which coterminal angle of \(-120^\circ\) lies between \(0^\circ\) and \(360^\circ\)?

Explanation opens after your attempt

Correct Answer

B. \(240^\circ\)

Step 1

Concept

\(-120^\circ+360^\circ=240^\circ\). Add \(360^\circ\) to bring a negative angle into the principal range.

Step 2

Why this answer is correct

The correct answer is B. \(240^\circ\). \(-120^\circ+360^\circ=240^\circ\). Add \(360^\circ\) to bring a negative angle into the principal range.

Step 3

Exam Tip

\(-120^\circ+360^\circ=240^\circ\) होता है। ऋणात्मक कोण को मुख्य दायरे में लाने के लिए \(360^\circ\) जोड़ें।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Easy
Level: 67

Question Hindi:
(-120^\circ) का (0^\circ) से (360^\circ) के बीच सह-अंतिम कोण कौन सा है?

Question English:
Which coterminal angle of (-120^\circ) lies between (0^\circ) and (360^\circ)?

Options:
A. (120^\circ)
B. (240^\circ)
C. (300^\circ)
D. (60^\circ)

Correct Answer:
B. (240^\circ)

Explanation Hindi:
(-120^\circ+360^\circ=240^\circ) होता है। ऋणात्मक कोण को मुख्य दायरे में लाने के लिए (360^\circ) जोड़ें।

Explanation English:
(-120^\circ+360^\circ=240^\circ). Add (360^\circ) to bring a negative angle into the principal range.

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Question Easy Mathematics Trigonometric Functions Angles Class 11 Level 67

\(60^\circ\) का रेडियन माप क्या है?

What is the radian measure of \(60^\circ\)?

Explanation opens after your attempt

Correct Answer

B. \(\frac{\pi}{3}\)

Step 1

Concept

\(60^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{3}\). Do not forget to simplify by (180).

Step 2

Why this answer is correct

The correct answer is B. \(\frac{\pi}{3}\). \(60^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{3}\). Do not forget to simplify by (180).

Step 3

Exam Tip

\(60^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{3}\) होता है। (180) से सरल करना न भूलें।

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MCQ Data:
Class: Class 11
Subject: Mathematics
Chapter: Trigonometric Functions
Topic: Angles
Difficulty: Easy
Level: 67

Question Hindi:
(60^\circ) का रेडियन माप क्या है?

Question English:
What is the radian measure of (60^\circ)?

Options:
A. (\frac{\pi}{4})
B. (\frac{\pi}{3})
C. (\frac{\pi}{2})
D. (\frac{2\pi}{3})

Correct Answer:
B. (\frac{\pi}{3})

Explanation Hindi:
(60^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{3}) होता है। (180) से सरल करना न भूलें।

Explanation English:
(60^\circ \times \frac{\pi}{180^\circ}=\frac{\pi}{3}). Do not forget to simplify by (180).

Video Structure:
1. 0-2 sec: Premium Muft Shiksha intro with logo glow and title: "MCQ Challenge".
2. 2-8 sec: Show question in large readable text. Keep Hindi and English clean, no overlap.
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4. 15-18 sec: Add countdown/timer effect: "Socho... correct answer kya hoga?"
5. 18-23 sec: Reveal correct answer with green glow and subtle success sound.
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