When 2.5 radians is approximately converted into degrees, which value is nearest?

Correct answer: 143.2°

Answer: option A, 143.2°. The basic conversion is π radians = 180°, so 1 radian = 180°/π. To convert 2.5 radians, multiply by 180°/π: 2.5 × 180°/π = 450°/π. Using π ≈ 3.1416 gives 450/3.1416 ≈ 143.24°, which is nearest to 143.2°. A quick check uses 1 radian ≈ 57.3°, so 2.5 × 57.3° ≈ 143.25°. Option B, 125.0°, is about 18.2° away; option C, 157.5°, is about 14.3° away; and option D, 172.0°, is about 28.8° away. Thus A is the closest value. The common mistake is reversing the factor: π/180 is for degrees to radians, whereas 180/π is for radians to degrees. Memory cue: radians-to-degrees means multiply by about 57.3.