Convert from Radians to Degrees (9pi)/8

Problem

(9*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.

(9*π)/8⋅180/π

3. Cancel the common factor of π from the numerator and the denominator.

9/8⋅180

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

9/2⋅45

5. Calculate the final numerical value by multiplying 9 by 45 and then dividing by 2

405/2=202.5

Final Answer

(9*π)/8=202.5

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