Applied Mathematics · Ch 12 — Coordinate Geometry
Circle
12.5
Circle
A circle is simply the set of all points that lie at a fixed distance from a given centre. That fixed distance is the radius, and the centre is the anchor that defines the shape. In coordinate geometry, we translate this geometric idea into an algebraic equation, letting us describe and analyse circles with precision. Once you understand the distance formula, the equation of a circle follows naturally — it is …
Figure 12.2A circle with centre C(h, k) and radius r, the set of points at distance r from the centre
Drawn by us to help you understand the concept clearly, and verified to make sure it's accurate. For exams, practice from your NCERT textbook's own diagram.
A circle is the set of points at a fixed distance r (the radius) from its c …