Convert from Degrees to Radians 135

Problem

135

Solution

1. Identify the conversion factor between degrees and radians, which is based on the relationship 180=π* radians

2. Set up the multiplication by multiplying the given degree measure by the ratio π/180

135⋅π/180

3. Simplify the expression by canceling the degree units and reducing the fraction 135/180

(135*π)/180

4. Divide both the numerator and the denominator by their greatest common divisor, which is 45

135÷45=3

180÷45=4

5. State the final result in terms of π

(3*π)/4

Final Answer

135=(3*π)/4

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