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You can use the cosine rule to calculate the central angle.
The length of the arc is equal to the radius times the angle (angle in radians). If the angle is in any other measure, convert to radians first. (radians = degrees * pi / 180)
The angle between the radius and the tangent is a right angle of 90 degrees.
The answer depends on what information about the circle is given: area, radius, length and angle of arc, area and angle of sector, etc. In each case, there is a different way to calculate the diameter but, since there is no information on what is known, it is not possible to answer the question.
Double the Radius to Calculate the Diameter.