Convert from Degrees to Radians 216

Problem

216

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

216⋅π/180

3. Simplify the expression by canceling the degree units and reducing the fraction 216/180

(216*π)/180

4. Divide both the numerator and the denominator by their greatest common divisor, which is 36

216÷36=6

180÷36=5

5. Write the final result in terms of π

(6*π)/5

Final Answer

216=(6*π)/5

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