Express 540° in radians.

## The reasoning To convert degrees to radians, use the fundamental relationship: **180° = π radians** This means 1° = π/180 radians So for 540°: 540° = 540 × (π/180) Simplify the fraction: = (540π)/180 = 3π radians **Alternative check:** Notice that 540° = 3 × 180°. Since each 180° equals π radians, we get 3π directly! ## Why the wrong options tempt you **A) π** — You might mistakenly think 180° = π, so 540° = π. But you forgot to multiply: 540° is *three times* 180°. **B) 2π** — Common confusion! 360° (a full circle) = 2π. But 540° goes beyond a full rotation. **D) 5π/2** — This equals 450°. You might have miscalculated the simplification of 540/180. ## Quick takeaway **Remember: 180° = π, so divide the degrees by 180 and multiply by π** — or just remember that every 180° adds another π to your answer!