Convert from Degrees to Radians 390 degrees

Problem

390

Solution

1. Identify the conversion factor between degrees and radians, which is (π* radians)/180

2. Multiply the given angle by the conversion factor to set up the expression.

θ=390⋅π/180

3. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 30

390/180=13/6

4. Combine the simplified fraction with π to find the final radian measure.

θ=(13*π)/6

Final Answer

390=(13*π)/6

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