Geometry and Trigonometry practice question

Answer: B. 3π/4

Multiply degrees by π/180: 135 × π/180 = 135π/180 = 3π/4. Choice D (3π/2) comes from mishandling the reduction; carefully reduce 135/180 to 3/4.

Why the other answers are wrong

A. 2π/3

2π/3 is the radian measure of 120°, not 135° — multiplying 135 × π/180 gives 135/180, which reduces to 3/4, not 2/3.

C. 5π/4

5π/4 is 225°, which is 360° − 135°; convert the given 135° directly with 135 × π/180 = 3π/4.

D. 3π/2

3π/2 equals 270°, twice the given angle — reduce 135/180 carefully by dividing both by 45 to get 3/4.

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