https://www.khanacademy.org/math/class-9-tg/x06d55bfa213a79fd:circles/x06d55bfa213a79fd:the-three-points-that-describe-a-circle/v/one-and-only-one-circle-passes-through-three-non-collinear-points 2026-02-20T04:00:32.356270105Z One and only one circle passes through three non-collinear points This video explains how many circles can pass through given points with clear logic for each case. Through one point or two distinct points, infinitely many circles can be drawn. For three collinear points, no circle exists, while for three non-collinear points, exactly one unique circle—the circumcircle—can be constructed. The reasoning is shown step by step, highlighting why each situation leads to a different outcome. Khan Academy video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw One and only one circle passes through three non-collinear points This video explains how many circles can pass through given points with clear logic for each case. Through one point or two distinct points, infinitely many circles can be drawn. For three collinear points, no circle exists, while for three non-collinear points, exactly one unique circle—the circumcircle—can be constructed. The reasoning is shown step by step, highlighting why each situation leads to a different outcome. 319 How Many Circles? https://www.khanacademy.org/math/geometry/hs-geo-circles/hs-geo-circum-in-circles/v/constructing-circumscribing-circle 2021-02-16T16:08:13Z Geometric constructions: triangle-circumscribing circle Sal constructs a circle that circumscribes a given triangle using compass and straightedge. Sal Khan video https://cdn.kastatic.org/googleusercontent/V0uKUGvEasjML5uvY7GatUOHQWwIAk2a4xLm96HvKFrvB1pMwAyWu-hABihWDpXvR_BidO3JiJTaXKHzQNIUC_Qj Geometric constructions: triangle-circumscribing circle Sal constructs a circle that circumscribes a given triangle using compass and straightedge. https://cdn.kastatic.org/ka-youtube-converted/eSjbEWb4Qp4.mp4/eSjbEWb4Qp4.mp4 142 How Many Circles?