If \(s=10\) cm and \(r=5\) cm then what is the value of \(\theta\)?
Answer and explanation
Correct answer: \(2\) radians
For an angle measured in radians, \(\theta=\frac{s}{r}\), where \(s\) is the arc length and \(r\) is the radius. Thus, \(\theta=\frac{10}{5}=2\) radians. It would be \(1\) radian only if the arc length were equal to the radius. Exam tip: Ensure that \(s\) and \(r\) are in the same unit before applying the formula.
Frequently asked questions
What is the correct answer to this question?
\(2\) radians
Why is this the correct answer?
For an angle measured in radians, \(\theta=\frac{s}{r}\), where \(s\) is the arc length and \(r\) is the radius. Thus, \(\theta=\frac{10}{5}=2\) radians. It would be \(1\) radian only if the arc length were equal to the radius. Exam tip: Ensure that \(s\) and \(r\) are in the same unit before applying the formula.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
