If the radian measure of (1^\circ) is (\frac{\pi}{180}), what is the radian measure of (1')?

Question

Answer and explanation

Correct answer: (\frac{\pi}{10800})

(1'=\frac{1}{60}^\circ), so its radian measure is (\frac{\pi}{180\times60}). In exams, first convert minutes into degrees.

What is the correct answer to this question?

(\frac{\pi}{10800})

Why is this the correct answer?

(1'=\frac{1}{60}^\circ), so its radian measure is (\frac{\pi}{180\times60}). In exams, first convert minutes into degrees.

Which subject and chapter does this question cover?

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