Convert from Radians to Degrees (2pi)/5

Problem

(2*π)/5

Solution

1. Identify the conversion factor between radians and degrees. Since π radians is equal to 180^∘ the conversion factor is 180^∘/π

2. Multiply the given radian measure by the conversion factor to cancel out the radians and find the degree measure.

(2*π)/5⋅180^∘/π

3. Simplify the expression by canceling the common factor of π from the numerator and the denominator.

(2⋅180^∘)/5

4. Divide 180^∘ by 5 to simplify the fraction further.

2⋅36^∘

5. Calculate the final product to find the total number of degrees.

72^∘

Final Answer

(2*π)/5=72^∘

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