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If the arc length is (\frac{9\pi}{2}) cm and the radius is (12) cm, what is the central angle in degrees?

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Answer and explanation

Correct answer: (67.5^\circ)

From (s=r\theta), (\theta=\frac{3\pi}{8}), which is (67.5^\circ). In exams, keep the angle in radians in the arc formula.

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trigonometric-functionsanglesarc-lengthexpert

Frequently asked questions

What is the correct answer to this question?

(67.5^\circ)

Why is this the correct answer?

From (s=r\theta), (\theta=\frac{3\pi}{8}), which is (67.5^\circ). In exams, keep the angle in radians in the arc formula.

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.

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