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Kristian
Mathematics
24 April, 21:50
What is 510° expressed in radian measure?
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Willie Bryan
24 April, 22:06
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Answer: π/180
Step-by-step explanation:
510 Degree (°) =. 8.90118 Radian (rad) Degree : A degree, a degree of arc or arc degree is a measurement of plane angle, on behalf of 1/360 of a full rotation. The symbol for degree is °. It is not an SI unit, however, it is accepted for use with SI. One degree is equal to π/180 radians.
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Xander Singleton
24 April, 22:16
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17pi/6 rad
Step-by-step explanation:
2 pi radians = 360 degrees
Divide both sides by 2.
pi radians = 180 degrees
From the statement above, you get the conversion factors:
(pi rad) / (180 deg) = (180 deg) / (pi rad) = 1
Both fractions above equal 1. Since multiplying by 1 does not change the number, multiply 510 deg by the fraction above that will cancel out degrees and will leave you with radians.
510 deg * (pi rad) / (180 deg) = 510pi/180 rad = 17pi/6 rad
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