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Geometry and Trigonometry / Circles Difficulty: Medium

An angle has a measure of $StartFraction 9 pi Over 20 EndFraction$ radians. What is the measure of the angle in degrees?

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Explanation

The correct answer is $81$ . 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, $StartFraction 9 pi Over 20 EndFraction$ radians, by $StartFraction 180 degrees Over pi radians EndFraction$ yields $(\frac{9 π}{20} radians) (\frac{180 degrees}{π radians})$ , which is equivalent to $81$ degrees.