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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

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