Concept-wise Practice

angle-conversion MCQ Questions for Class 11

angle-conversion se related questions ko ek jagah revise karein. Har question me bilingual content, answer feedback aur explanation available hai.

Practice Questions

9 questions tagged with angle-conversion.

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

\(72^\circ\) 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।

Open Question Page
Ask Friends

\(\frac{\pi}{9}\) 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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

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।

Open Question Page
Ask Friends

\(60^\circ\) 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।

Open Question Page
Ask Friends
Student Class Required

Select your class first

Quiz questions, daily challenge and practice pages will open according to your selected class. Class 11/12 ke liye stream bhi select karein.