The equation of the circle is given by:
We could transform this to its general form
by manipulating the equation. (Mostly by completing a square.)
Rearranging the equation to easily see like terms, we get:Using the techniques of completing the square, we will have:
Now, since we have the general equation and we know the value of r, which is
, we use the formula of getting the area of a circle in terms of r.
Therefore the area is:
Hope that helps.If you still have any problems and/or if there are any errors in this answer please post a comment on my profile or message me. Thanks!