Answer:
P (2,-3), r = 5
Step-by-step explanation:
The equation of a circle is written as
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where:
a is the x-coordinate of the centre of the circle
b is the y-coordinate of the centre
r is the radius of the circle
In this problem, the equation of the circle is:
[tex](x-2)^2+(y+3)^2=25[/tex]
By comparing the two equations, we find that:
[tex]a=2[/tex]
[tex]b=-3[/tex]
So, the coordinates of the centre P are
P (2,-3)
Also, we see that
[tex]r^2=25 \rightarrow r=5[/tex]
So, the radius of the circle is 5.
