# What is the area of the circle 4x^2 +4y^2 - 7x +6y -35 = 0

1
by bestandlessph

2014-03-25T23:15:00+08:00
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:

Rearranging:

Combining:

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.

Area= πr^2

Therefore the area is:

Hope that helps.