Two concentric circles have radii (5) cm and (13) cm. For the same central angle their arc lengths differ by (6\pi) cm. What is the central angle?
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Answer and explanation
Correct answer: (\frac{3\pi}{4})
The arc difference is ((13-5)\theta=8\theta). From (8\theta=6\pi) we get (\theta=\frac{3\pi}{4}).
Frequently asked questions
What is the correct answer to this question?
(\frac{3\pi}{4})
Why is this the correct answer?
The arc difference is ((13-5)\theta=8\theta). From (8\theta=6\pi) we get (\theta=\frac{3\pi}{4}).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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