Question

PLEASE HELPWrite the equation of the circle graphed below.

Answer 1

Answer:

Step-by-step explanation:

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$ where h and k are the coordinates of the center and r is the radius.  The grids on our graph are 1/4 of a unit apart, and that will be important when we need to find the radius of the circle in just a minute.  But first the center.

The center is situated at (-2, -2).  That is our h and k.

The radius goes from -1.25 to -2, so the radius is .75 units long (or 3/4 of a unit).

Putting all of this together:

$(x-(-2))^2+(y-(-2))^2=(.75)^2$ which simplifies to

$(x+2)^2+(y+2)^2=\frac{9}{16}$