Respuesta :

Using the mid-point concept, we have that:

  • The center is (5,8).
  • The radius is of 3.16 units.

What is the mid-point concept?

The mid-point between two points is the halfway point between them, and is found using the mean of the coordinates.

The center of the circle is the mid-point of the coordinates of the diameter, hence:

  • x = (2 + 8)/2 = 5.
  • y = (7 + 9)/2 = 8.

The radius is the distance between the center and the end-points of the diameter, hence, applying the formula for the distance between two points:

[tex]r = \sqrt{(5 - 2)^2 + (8 - 7)^2} = \sqrt{10} = 3.16[/tex]

More can be learned about the mid-point concept at https://brainly.com/question/10956693

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