A sector has arc length (25) cm and area (100) square cm. What is its central angle in radians?
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Answer and explanation
Correct answer: (\frac{25}{8})
From (A=\frac{1}{2}rs), (r=8), then (\theta=\frac{s}{r}=\frac{25}{8}). In exams, find the radius first from arc length and area.
Frequently asked questions
What is the correct answer to this question?
(\frac{25}{8})
Why is this the correct answer?
From (A=\frac{1}{2}rs), (r=8), then (\theta=\frac{s}{r}=\frac{25}{8}). In exams, find the radius first from arc length and area.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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