Convert from Degrees to Radians 67.5

Problem

67.5

Solution

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

2. Multiply the given angle by the conversion factor to cancel the degree units.

67.5⋅π/180

3. Rewrite the decimal as a fraction to simplify the expression.

67.5=135/2

4. Substitute the fraction back into the expression.

135/2⋅π/180

5. Simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 45

135/180=3/4

6. Combine the remaining terms to find the final radian measure.

3/4⋅π/2=(3*π)/8

Final Answer

67.5=(3*π)/8

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