Circumscribed circle is a geometric concept used in mathematics. It refers to a circle that passes through all the vertices of a given polygon or triangle, usually drawn outside the polygon. Synonyms for circumscribed circle include circumcircle, circumscribing circle, and circumferential circle. The term circumradius is also used to describe the radius of the circumscribed circle. In Euclidean geometry, the property of a circumscribed circle is an essential part of many theorems and proofs. Understanding concepts related to the circumscribed circle can enhance geometric problem-solving abilities in various fields, such as engineering, physics, and architecture.