"In-circle" generally refers to the incircle of a polygon, which is a circle inscribed within the polygon such that the circle is tangent to each of the polygon's sides.
Definition: The in-circle of a polygon is the largest circle contained within the polygon that touches each side of the polygon at one point.
Incenter: The center of the in-circle is called the in-center. The in-center is the point where the angle bisectors of the polygon's interior angles meet.
Inradius: The radius of the in-circle is called the in-radius.
Triangles: Every triangle has an in-circle. The in-center of a triangle is the intersection of the triangle's angle bisectors. The area of a triangle can be calculated using the in-radius and the semiperimeter (s) of the triangle: Area = r * s, where 'r' is the inradius.
Tangential Polygons: Polygons that have an incircle are called tangential%20polygons. Not all polygons have an in-circle; for instance, a general quadrilateral might not have one. However, a rhombus always has an in-circle.
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