Question

Need help fast!!!!!!!!!!! Discuss how to convert the standard form of the equation of a circle to the general form. 50 points

Answer 1

Explanation:

The standard form of a circle is

`(x-h)^2+(y-k)^2=r^2`

where h, k an r are real numbers that can be added at the end.

First, to get to the general form of a circle, you have to expand the binomials. Meaning,

`(x-h)^2=x^2-2xh+h^2` and

`(y-k)^2=y^2-2yk+k^2`.

After you do this, then the h^2, k^2, and r^2 terms can be added together to give you one number. Then put everything else in descending order, like this:

`x^2+y^2-(2h)x-(2y)k+(h^2k^2r^2)=0`

It's very hard to describe when there are no values assigned to the h, k, and r in the equation.

Basic idea:

Expand the binomials and add like terms, setting the whole thing equal to 0.