In a circle the arc length is equal to the radius. What will be the angle at the centre?
Answer and explanation
Correct answer: \(1\) radian
For an angle measured in radians, \(\theta=\frac{s}{r}\), where \(s\) is the arc length and \(r\) is the radius. Here \(s=r\), so \(\theta=\frac{r}{r}=1\) radian. \(\pi\) radians represents a semicircle, so it is not correct here. Exam tip: For arc-length questions, first use \(\theta=\frac{s}{r}\).
Frequently asked questions
What is the correct answer to this question?
\(1\) radian
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. Here \(s=r\), so \(\theta=\frac{r}{r}=1\) radian. \(\pi\) radians represents a semicircle, so it is not correct here. Exam tip: For arc-length questions, first use \(\theta=\frac{s}{r}\).
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
