Convert from Degrees to Radians 72

Problem

72

Solution

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

2. Multiply the given angle in degrees by the conversion factor.

72⋅π/180

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

(72*π)/180

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

(72÷36)/(180÷36)*π

5. Calculate the final simplified value.

(2*π)/5

Final Answer

72=(2*π)/5

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