Keeping the arc length same the radius is increased by (25%). If the earlier central angle was (\frac{5\pi}{8}) what will be the new angle?

Question

Answer and explanation

Correct answer: (\frac{\pi}{2})

For fixed arc length (\theta) is inversely proportional to radius. The new radius is (\frac{5}{4}) times so the new angle is (\frac{\pi}{2}).

What is the correct answer to this question?

(\frac{\pi}{2})

Why is this the correct answer?

For fixed arc length (\theta) is inversely proportional to radius. The new radius is (\frac{5}{4}) times so the new angle is (\frac{\pi}{2}).

Which subject and chapter does this question cover?

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