13
QuizMultiple Choice

Radian Measure — Quiz

Question 13 • Precalculus

Which of the following are in the correct order from least to greatest?

Answer
A
3 pi over 10 , pi over 2 , 2 pi over 3 , 60 degrees , 255 degrees
B
255 degrees , 60 degrees , 2 pi over 3 , pi over 2 , 3 pi over 10
C
3 pi over 10 , 60 degrees , pi over 2 , 2 pi over 3 , 255 degrees
D
255 degrees , 2 pi over 3 , pi over 2 , 60 degrees , 3 pi over 10

Explanation

Convert the radian measures to degrees: 3π/10 = 54°, π/2 = 90°, and 2π/3 = 120°. Comparing these with 60° and 255° gives 54° < 60° < 90° < 120° < 255°. Therefore, the correct order is choice D: 3π/10, 60°, π/2, 2π/3, 255°.

AI-written and checked against the verified answer.

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