The equation of the circle will be given as [tex](x-5)^2+(y-2)^2= 25[/tex]
Equation of a circle
The standard formula of the equation of a circle is expressed as:
[tex](x-a)^2+(y-b)^2=r^2[/tex]
where:
- (a, b) is the centre of the circle
- r is the radius of the circle
From the diagram;
centre = (5, 2)
P(x, y) = (9, 5)
Get the radius of the circle:
r = √(4^2+3^2)
r = √16 + 9
r = 5
The equation of the circle will be given as [tex](x-5)^2+(y-2)^2= 25[/tex]
Learn more on equation of a circle here: https://brainly.com/question/1506955
