Keeping the arc length same the radius is doubled. If the earlier angle was (\frac{3\pi}{5}) then what will be the new angle?

Question

Answer and explanation

Correct answer: (\frac{3\pi}{10})

For the same arc length (\theta) is inversely proportional to radius. When radius doubles the angle becomes half as (\frac{3\pi}{10}).

What is the correct answer to this question?

(\frac{3\pi}{10})

Why is this the correct answer?

For the same arc length (\theta) is inversely proportional to radius. When radius doubles the angle becomes half as (\frac{3\pi}{10}).

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.