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.
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circle diameter minus center of pitch cirlce raius
Circumference = diameter*pi
Double the Radius to Calculate the Diameter.
The radius is one -half of the diameter. It is the distance from the circle center to any point on the circumference.
Take out the diameter of the outer circle from the distance between the two. Gives you the diameter of the inner circle then pi r squared it.