In a circle, an angle of (54^\circ) subtends an arc of (9\pi) cm. What is the radius of the circle?
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Answer and explanation
Correct answer: (30) cm
(54^\circ=\frac{3\pi}{10}) and from (s=r\theta), (r=\frac{9\pi}{\frac{3\pi}{10}}=30). In exams, convert degrees into radians before using the arc formula.
Frequently asked questions
What is the correct answer to this question?
(30) cm
Why is this the correct answer?
(54^\circ=\frac{3\pi}{10}) and from (s=r\theta), (r=\frac{9\pi}{\frac{3\pi}{10}}=30). In exams, convert degrees into radians before using the arc formula.
Which subject and chapter does this question cover?
This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.
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