Convert the angle 0= 17π/18 radians to degrees
Express your answer exactly.
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Answer:
170°
Step-by-step explanation:
Given that measure of an angle is 17π/18 radians.
To convert it into degrees.
We know that,
π radians = 180°
Finding a relationship between radians and degrees , we get,
=> D/180 = R/π
Where,
D denotes the angle in degrees.
R denotes the angle in radians.
Substituting the values, we get,
=> D/180 = 17π/18π
=> D/180 = 17/18
=> D = 180 × 17/18
=> D = 10 × 17
=> D = 170
Hence, the angles measures 170°.
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