Respuesta :

Answer:

Option A Center: 2,-3 radius =5

Step-by-step explanation:

[tex](x-h) ^2+(y-k) ^2 =r^2[/tex]

The above equation is the general standard equation for the circle centered at (h,k) with radius r

Given that the equation of the circle is

[tex](x-2) ^2+(y+3) ^2 =25[/tex]

Comparing this with the general equation we can get the center and the radius as

[tex](x-h) ^2+(y-k) ^2 =r^2\\(x-(2)) ^2+(y-(-3)) ^2 =5^2[/tex]

We can now see that

h= 2

k= -3 and

r= 5