And then y2 and y1. We can continue to evaluate. Here negative five minus one equals negative six.MoreAnd then y2 and y1. We can continue to evaluate. Here negative five minus one equals negative six. And over on the right side in parentheses. Negative one minus seven equals negative eight.
Plus y plus 1 squared equals 11 plus 4 plus 1 is 16. So my radius is 4. And my H and K. My CenterMorePlus y plus 1 squared equals 11 plus 4 plus 1 is 16. So my radius is 4. And my H and K. My Center Point is at 2 minus. 1. So now that I have this information I can graph. We go over to. And down one.
Standard form (x -x1)² + (y – y1)² = r², where (x, y) is the arbitrary coordinates on the circumference of the circle, r is the radius of the circle, and (x1, y1) are the coordinates of the center of the circle. The standard form of the equation of the circle is derived from the distance formula.
The standard form of a circle's equation is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius. To convert an equation to standard form, you can always complete the square separately in x and y.
And there's your standard equation. And you know since we're here let's just go ahead we know theMoreAnd there's your standard equation. And you know since we're here let's just go ahead we know the center is what negative 4 1 and the radius is the square root of 25.