74-75). Edinburgh Math. to the homogeneous coordinates is given by, Other equations involving the inradius include. https://mathworld.wolfram.com/Inradius.html. Edinburgh Math. Dublin: Hodges, Inradius The inradius (r) of a regular triangle (ABC) is the radius of the incircle (having center as l), which is the largest circle that will fit inside the triangle. Denote the vertices of a triangle as A, B, and C and the orthocenter as H, r as the radius of the triangle’s incircle, ra, rb, and rc as the radii if its excircles, and R as the radius of its circumcircle, then, there is a relation between them. A Sequel to the First Six Books of the Elements of Euclid, Containing an Easy Introduction Also the inradius is 1 2 \frac{1}{2} 2 1 the length of a circumradius. It is commonly denoted .. A Property. with the inradius , then the length of the third side can be found by solving (1) for , resulting in a Edinburgh Math. The center of this circle is called the circumcenter and its radius is called the circumradius. window.jQuery || document.write('