Question

Determine the equation of the circle graphed below.

Answer 1

(x+6)^2+(y-5)^2 = 3.1622^2

Explanation:

The equation for a circle can be represented by (x+_)^2+(y+_)^2 = r^2

So, we already can find this portion of the equation knowing the center of the circle:

(x+6)^2+(y-5)^2= r^2

Next, we find the distance between the two given points to find the radius.

6-5 = 1

-3--6 = 3

1^2+3^2 = c^2

1+9= c^2

10=c^2

3.1622...

So, now we know the full equation.

(x+6)^2+(y-5)^2 = 3.1622^2