Convert from Degrees to Radians 285 degrees

Problem

285

Solution

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

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

θ=285⋅π/180

3. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 15

285/15=19

180/15=12

4. Write the final result in terms of π

θ=(19*π)/12

Final Answer

285=(19*π)/12

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