﻿ circle equation

# circle equation

Case I: If the centre and radius of a circle be given, we can determine its equation: To find the equation of the circle whose centre is at the origin O and radius r units Use the Center- radius form to get the equation of circle. Find the equation of the circle passing through the points. But circle equations are often given in the general format of ax2 by2 cx dy e 0, When you are given this general form of equation and told to find the center and radius of a circle Circle and line, examples. Equation of a tangent at a point of a circle with the center at the origin. Equations of Circles 10.6 California State Standards 17: Prove theorems using coordinate geometry. EXAMPLE 1 Write an equation of a circle Write the equation of the circle shown. Important Properties: Equation of a circle: An equation of the circle with center (h, k) and radius r is given by (x h)2 (y k)2 r2. For more tutorials on equation of circle go here . Definition: A circle is the set of points equidistant from a point C(h,k) called the center. Once we have derived this equation of a circle, we can apply it to any other circle you may come across in a coordinate plane. A circle centred on the origin has equation x y r ( I presume that you are familiar with this.) Now, if the centre of the circle is shifted to the point (a,b), then the simple equation above becomes (x - a) It is a circle equation, but "in disguise"! So when you see something like that think "hmm that might be a circle!" Circle equation - examples. Do you have a linear equation or system of equations and looking for its solution? The equation of a circle is the locus of points on the plane that are equidistant from a fixed point called the center. Also, it can find equation of a circle given its center and radius. The calculator will generate a step by step explanations and circle graph.