👉 In geometry, an "exsecant" is a line segment that intersects two or more circles in exactly one point. This intersection is called the excenter of the circle. Exsecants are used to construct another circle that fits inside a given circle and shares the same center as the original circle but has its radius shortened by half. This construction is known as an "excircle." In Euclidean geometry, an excircle is a circle that circumscribes (covers) an ellipse or hyper