Yes. Any triangle can be inscribed within a circle, although the center of the circle may not necessarily lie within the triangle.
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It is the center of the circle that is inscribed in the triangle.
incenter
The triangle that has all three vertices touching the circle is called an 'inscribed triangle.' The circle has no special name, only the polygon inscribed.
radius
There are different formula for: Height, Area, Perimeter, Angle, Length of Median Radius of inscribed circle Perimeter of inscribed circle Area of inscribed circle etc.