The center of the circle will be (2, -5) and the radius of the circle will be 1 unit.
What is an equation of a circle?
A circle can be characterized by its center's location and its radius's length.
Let the center of the considered circle be at the (h,k) coordinate.
Let the radius of the circle be 'r' units.
Then, the equation of that circle would be:
(x - h)² + (y - k)² = r²
The equation is given below.
x² - 4x + y² + 10y = -28
Then the center and the radius of the circle will be
x² - 4x + 4 + y² + 10y + 25 = -28 + 4 + 25
(x - 2)² + (x + 5)² = 1²
Thus, the center and the radius of the circle will be (2, -5) and 1 unit respectively.
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