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Find the correct sequencing order of Radian in increasing degree: A. π Radian B. 3π/2 Radian C. π/3 Radian D. 2π Radian E. 3π/4 Radian
Question

Find the correct sequencing order of Radian in increasing degree:
A. π Radian
B. 3π/2 Radian
C. π/3 Radian
D. 2π Radian
E. 3π/4 Radian

A.

E, C, A, D, B

B.

D, A, C, E, B

C.

A, D, B, C, E

D.

C, E, A, B, D

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.
Additional Knowledge
  • 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.
Interesting Fact
One radian is the angle subtended by an arc equal to the radius, approximately 57.3°.

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