Using Pythagoras.
( x - 2)^" + ( y - - 3)^2 = 4^2
Becomes
(x - 2)^2 + (y + 3)^2 = 4^2
This can be expanded to : - #
x^2 - 4x + 4 + y^2 + 6y + 9 = 16
Collecting terms.
x^2 + y^2 - 4x + 6y - 3 = 0
The equation of the circle is: (x-2)^2 + (y+3)^2 = 16
x2 + y2 = 25
x2 + y2 = 25
x2 + y2 =144
x2 + y2 = 400
x² + y² = 225.
x2 + y2 = 25
x2 + y2= 16
x2 + y2 = 25
x2 + y2 = 36
x2 + y2 = 49
You should increase the radius in the standard equation of a circle centered at the origin. The general form is ( x^2 + y^2 = r^2 ), where ( r ) is the radius. By increasing ( r ), you extend the distance from the center to any point on the circle, making it larger.
Equation of circle: (x+2)^2 +(y+3) = 49
1.6667
Equation of circle: (x-3)^2 +(y-2)^2 = 49
Equation of the circle: (x+1)^2 +(y+3)^2 = 25
Equation of the circle: (x+1)^2 +(y+3)^2 = 25
It is (x + 1)2 + (y - 3)2 = 42