If an arc of (4\pi) cm subtends an angle of (72^\circ), what is the radius of the circle?
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Answer and explanation
Correct answer: (10) cm
(72^\circ=\frac{2\pi}{5}) and (r=\frac{s}{\theta}=\frac{4\pi}{2\pi/5}=10) cm. In exams, keep the angle in radians when using the formula.
Frequently asked questions
What is the correct answer to this question?
(10) cm
Why is this the correct answer?
(72^\circ=\frac{2\pi}{5}) and (r=\frac{s}{\theta}=\frac{4\pi}{2\pi/5}=10) cm. In exams, keep the angle in radians when using the 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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