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arc-angle MCQ Questions for Class 11

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4 questions tagged with arc-angle.

Question 1/4 Hard Mathematics Trigonometric Functions Angles Class 11 Level 67

वृत्त की त्रिज्या (18) सेमी है और चाप \(15\pi\) सेमी है। केंद्र कोण डिग्री में क्या है?

The radius of a circle is (18) cm and the arc is \(15\pi\) cm. What is the central angle in degrees?

Explanation opens after your attempt
Correct Answer

C. \(150^\circ\)

Step 1

Concept

\( \theta=\frac{s}{r}=\frac{15\pi}{18}=\frac{5\pi}{6}=150^\circ \). First find the radian angle and then convert to degrees.

Step 2

Why this answer is correct

The correct answer is C. \(150^\circ\). \( \theta=\frac{s}{r}=\frac{15\pi}{18}=\frac{5\pi}{6}=150^\circ \). First find the radian angle and then convert to degrees.

Step 3

Exam Tip

\( \theta=\frac{s}{r}=\frac{15\pi}{18}=\frac{5\pi}{6}=150^\circ \) है। पहले रेडियन कोण निकालकर डिग्री में बदलें।

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Question 2/4 Medium Mathematics Trigonometric Functions Angles Class 11 Level 69

यदि वृत्त की त्रिज्या (21) सेमी और चाप \(14\pi\) सेमी है तो केंद्र कोण रेडियन में क्या है?

If the radius of a circle is (21) cm and the arc is \(14\pi\) cm, what is the central angle in radians?

Explanation opens after your attempt
Correct Answer

B. \( \frac{2\pi}{3} \) रेडियन\( \frac{2\pi}{3} \) radians

Step 1

Concept

\( \theta=\frac{s}{r}=\frac{14\pi}{21}=\frac{2\pi}{3} \). Use \( \theta=\frac{s}{r} \) to find the angle from arc length.

Step 2

Why this answer is correct

The correct answer is B. \( \frac{2\pi}{3} \) रेडियन / \( \frac{2\pi}{3} \) radians. \( \theta=\frac{s}{r}=\frac{14\pi}{21}=\frac{2\pi}{3} \). Use \( \theta=\frac{s}{r} \) to find the angle from arc length.

Step 3

Exam Tip

\( \theta=\frac{s}{r}=\frac{14\pi}{21}=\frac{2\pi}{3} \) है। चाप लंबाई से कोण निकालते समय \( \theta=\frac{s}{r} \) लगाएं।

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Question 3/4 Medium Mathematics Trigonometric Functions Angles Class 11 Level 68

एक वृत्त में त्रिज्या (18) सेमी और चाप \(6\pi\) सेमी है। केंद्र कोण डिग्री में क्या होगा?

In a circle the radius is (18) cm and arc is \(6\pi\) cm. What is the central angle in degrees?

Explanation opens after your attempt
Correct Answer

B. \(60^\circ\)

Step 1

Concept

\( \theta=\frac{s}{r}=\frac{6\pi}{18}=\frac{\pi}{3}=60^\circ \). First find the radian angle and then convert it into degrees.

Step 2

Why this answer is correct

The correct answer is B. \(60^\circ\). \( \theta=\frac{s}{r}=\frac{6\pi}{18}=\frac{\pi}{3}=60^\circ \). First find the radian angle and then convert it into degrees.

Step 3

Exam Tip

\( \theta=\frac{s}{r}=\frac{6\pi}{18}=\frac{\pi}{3}=60^\circ \) है। पहले रेडियन कोण निकालकर डिग्री में बदलें।

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Question 4/4 Medium Mathematics Trigonometric Functions Angles Class 11 Level 67

यदि (r=12) सेमी और चाप \(s=6\pi\) सेमी है तो कोण \( \theta \) क्या होगा?

If (r=12) cm and arc \(s=6\pi\) cm then what is the angle \( \theta \)?

Explanation opens after your attempt
Correct Answer

D. \( \frac{\pi}{2} \) रेडियन\( \frac{\pi}{2} \) radians

Step 1

Concept

\( \theta=\frac{s}{r}=\frac{6\pi}{12}=\frac{\pi}{2} \) radians. Rearrange \(s=r\theta\) as \( \theta=\frac{s}{r} \).

Step 2

Why this answer is correct

The correct answer is D. \( \frac{\pi}{2} \) रेडियन / \( \frac{\pi}{2} \) radians. \( \theta=\frac{s}{r}=\frac{6\pi}{12}=\frac{\pi}{2} \) radians. Rearrange \(s=r\theta\) as \( \theta=\frac{s}{r} \).

Step 3

Exam Tip

\( \theta=\frac{s}{r}=\frac{6\pi}{12}=\frac{\pi}{2} \) रेडियन है। \(s=r\theta\) को \( \theta=\frac{s}{r} \) में बदलें।

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