If the arc length is (22) cm and the radius is (7) cm then what is the central angle in radians?
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Answer and explanation
Correct answer: \(\frac{22}{7}\)
For a central angle measured in radians, \(s=r\theta\). Therefore, \(\theta=\frac{s}{r}=\frac{22}{7}\) radians. \(\frac{7}{22}\) is incorrect because it reverses the required ratio. Exam tip: when arc length is given, use \(\theta=\frac{s}{r}\) directly for the angle in radians.
Frequently asked questions
What is the correct answer to this question?
\(\frac{22}{7}\)
Why is this the correct answer?
For a central angle measured in radians, \(s=r\theta\). Therefore, \(\theta=\frac{s}{r}=\frac{22}{7}\) radians. \(\frac{7}{22}\) is incorrect because it reverses the required ratio. Exam tip: when arc length is given, use \(\theta=\frac{s}{r}\) directly for the angle in radians.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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