Convert from Degrees to Radians 22.5

Problem

22.5

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

22.5⋅π/180

3. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor or by converting the decimal to a fraction.

22.5=45/2

4. Substitute the fraction into the expression and perform the multiplication.

45/2⋅π/180

5. Reduce the expression by noting that 180 is divisible by 45

1/2⋅π/4

6. Calculate the final result.

π/8

Final Answer

22.5=π/8

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