Correct option is D
The correct answer is (d).
Introduction
Converting each radian measure to degrees: π/3 = 60°, 3π/4 = 135°, π = 180°, 3π/2 = 270°, 2π = 360°. The increasing order is 60° < 135° < 180° < 270° < 360°, which corresponds to C, E, A, B, D. Hence option D is correct.
Information Booster
- π rad = 180°; 3π/2 = 270°; π/3 = 60°; 2π = 360°; 3π/4 = 135°.
- Conversion factor: multiply by 180/π.
- The sequence from smallest to largest is C, E, A, B, D.
- Option D exactly matches this sequence.
- Option A (E, C, A, D, B) places E before C, incorrect.
- Option B starts with D (360°) which is largest, wrong.
- Option C starts with A (180°) not smallest.
One radian is the angle subtended by an arc equal to the radius, approximately 57.3°.