Equation Of A Circle General Form Example
Completing the square to find a circles center and radius always works in this manner.
Equation of a circle general form example. A circle is a simple closed shape. It is the set of all points in a plane that are at a given distance from a given point the centre. Equivalently it is the curve. Sal finds the center and the radius of the circle whose equation is x32y 4249.
General form always has x 2 y 2 for the first two terms. Going from general form to standard form. Now imagine we have an equation in general form. Given a circle on the coordinate plane sal finds its standard equation which is an equation in the form x a2y b2r2.
In general an algebraic equation or polynomial equation is an equation of the form or where p and q are polynomials with coefficients in some field real. The materials math glossary on this web site are legally licensed to all schools and students in the following states only. A circle can be defined as the locus of all points that satisfy an equation derived from trigonometry. Interactive coordinate geometry applet.