im not sure f the correct definition but this is how you would work a question out
The Area of a Segment is the area of a sector minus the triangular piece
There is a lengthy reason, but the result is a slight modification of the Sector formula:
Area of Segment = θ − sin(θ) 2 × r2 (when θ is in radians)
Area of Segment = ( θ 360 × π − sin(θ)2 ) × r2 (when θ is in degrees)