Convert from Degrees to Radians 85

Problem

85

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 cancel the degree units.

85⋅π/180

3. Simplify the resulting fraction by finding the greatest common divisor of 85 and 180 which is 5

85/180=(17⋅5)/(36⋅5)

4. Reduce the fraction to its simplest form.

(17*π)/36

Final Answer

85=(17*π)/36

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