The tangential speed of an orbiting object is 
Explanation:
The tangential speed of an orbiting object is defined as the ratio between the distance covered in one revolution and the period of revolution:

where
d is the distance covered during one period
T is the orbital period
However, the distance covered during one period is the circumference of the circle:

where
r is the radius of the circle
Substituting the 2nd equation into the 1st equation, we find:

So, this is the final expression for the tangential speed of an orbiting object.
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