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Mathematics 8 Online
OpenStudy (anonymous):

change 290 degrees to radian measure in terms of p.

OpenStudy (mathstudent55):

A full circle = 2(pi) radians Also, a full circle = 360 deg That means that 2(pi) radians = 360 degrees Divide both sides by 360 degrees: 2(pi radians / 360 degrees = 1 This ratio can be reduced to: pi radians / 180 degrees = 1 Now you have a ratio of radians to degrees that equals 1. Since multiplying a number by 1 does not change the number, multiply 290 degrees by 1, but with 1 written as (pi) radians / 180 degrees. 290 deg * (pi rad) / (180 deg) = The degree units cancel out leaving radians. Simplify the expression above for your answer.

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