Convert from Radians to Degrees (13pi)/8

Problem

(13*π)/8

Solution

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

2. Multiply the given radian measure by the conversion factor to cancel out the π units.

(13*π)/8⋅180/π

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

(13⋅180)/8

4. Reduce the fraction by dividing both 180 and 8 by their greatest common divisor, which is 4

(13⋅45)/2

5. Calculate the final numerical value by multiplying 13 by 45 and then dividing by 2

585/2

6. Convert to a decimal if necessary.

292.5

Final Answer

(13*π)/8=292.5

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