"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 |