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Geometry and Trigonometry / Circles Difficulty: Medium

An angle has a measure of $StartFraction 16 pi Over 15 EndFraction$ radians. What is the measure of the angle, in degrees?

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Explanation

The correct answer is $192$ . The measure of an angle, in degrees, can be found by multiplying its measure, in radians, by $StartFraction 180 degrees Over pi radians EndFraction$ . Multiplying the given angle measure, $StartFraction 16 pi Over 15 EndFraction radians$ , by $StartFraction 180 degrees Over pi radians EndFraction$ yields $(\frac{16 π}{15} radians) (\frac{180 degrees}{π radians})$ , which simplifies to $192$ degrees.