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Sunday, January 26, 2014

Graphical Sketch - Circle, 2

Category: Analytic Geometry, Plane Geometry, Algebra

"Published in Newark, California, USA"

Write the equation of a circle into standard form and sketch the graph:


Solution:

Consider the given equation above


Since x2 and y2 have the same coefficients which is 4, then we need to divide both sides of the equation by 4 as follows





Group the left side of the equation by their variables, we have



Complete the square for the two grouped terms, we have




Therefore, the equation of a circle in standard form is


and the center and its radius are


We can now sketch the graph of a circle as follows

Photo by Math Principles in Everyday Life