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If a circle has radius (21) cm and central angle (40^\circ), what is the arc length?

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Answer and explanation

Correct answer: (\frac{14\pi}{3}) cm

(40^\circ=\frac{2\pi}{9}) and (s=21\times\frac{2\pi}{9}=\frac{14\pi}{3}). In exams, convert degrees into radians and apply (s=r\theta).

Tags

trigonometry angles arc length hard class11

Frequently asked questions

What is the correct answer to this question?

(\frac{14\pi}{3}) cm

Why is this the correct answer?

(40^\circ=\frac{2\pi}{9}) and (s=21\times\frac{2\pi}{9}=\frac{14\pi}{3}). In exams, convert degrees into radians and apply (s=r\theta).

Which subject and chapter does this question cover?

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

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