Convert from Degrees to Radians 115

Problem

115

Solution

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

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

θ=115⋅π/180

3. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 5

115/180=(115÷5)/(180÷5)

4. Calculate the resulting values to find the final radian measure.

23/36

Final Answer

115=(23*π)/36

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