The answer will depend on what the formula is for: the perimeter or area of the segment.
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s diameter of the circle in the drawing above is the segment
Not if the whole segment is inside the circle.
The formula to find the area of the segment is given below. It can also be found by calculating the area of the whole pie-shaped sector and subtracting the area of the isosceles triangle △ACB.Formula for the area of a segment of a circle where:C is the central angle in DEGREES R is the radius of the circle of which the segment is a part.π is Pi, approximately 3.142sin is the trigonometry Sine function.
A line segment that divides a circle in two is a chord.If the two parts of the circle are equal, the line segment is a diameter.See 'The Parts of the Circle' in Sources and related links, below.
Such a line segment would be a radius of the circle.