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