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The radius of the original circle can be found by dividing the radius of the dilated circle by the scale factor.
Given that the scale factor is 3/4 and the radius of the dilated circle is 9 inches, we can calculate the radius of the original circle as follows:
Radius of the original circle = Radius of the dilated circle / Scale factor
Radius of the original circle = 9 inches / 3/4
Radius of the original circle = 9 inches * 4/3
Radius of the original circle = (9 * 4) / 3
Radius of the original circle = 36 / 3
Radius of the original circle = 12 inches
Therefore, the radius of the original circle is 12 inches.