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Geometry and Trigonometry / Circles Difficulty: Medium

The measure of angle $Z$ is $60 degree$ . What is the measure, in radians, of angle $Z$ ?

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Explanation

Choice B is correct. The measure of an angle, in radians, can be found by multiplying its measure, in degrees, by $StartFraction pi Over 180 EndFraction$ . It's given that the measure of angle $Z$ is $60 degree$ . It follows that the measure, in radians, of angle $Z$ is $60 left parenthesis StartFraction pi Over 180 EndFraction right parenthesis$ , or $\frac{1}{3} π$ .

Choice A is incorrect. This is the measure, in radians, of an angle whose measure is $30 degree$ , not $60 degree$ .

Choice C is incorrect. This is the measure, in radians, of an angle whose measure is $120 degree$ , not $60 degree$ .

Choice D is incorrect. This is the measure, in radians, of an angle whose measure is $180 degree$ , not $60 degree$ .