What is (x-4.5)^2+(y-1.5)^2=5.52 ?

The solution to (x-4.5)^2+(y-1.5)^2=5.52 is Circle with (a,b)=(4.5,1.5),r=2.34946…

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(x-4.5)^2+(y-1.5)^2=5.52

(x - 4.5)^{2} + (y - 1.5)^{2} = 5.52

(a, b) = (4.5, 1.5), r = 2.34946 \dots

Solution steps

(x - 4.5)^{2} + (y - 1.5)^{2} = 5.52

Rewrite

(x - 4.5)^{2} + (y - 1.5)^{2} = 5.52

in the form of the standard circle equation

(x - 4.5)^{2} + (y - 1.5)^{2} = 2.34946 \dots^{2}

Therefore the circle properties are:

(a, b) = (4.5, 1.5), r = 2.34946 \dots

x^{2} + y^{2} + 2 x + 1 < 1

4 x^{2} + 4 y^{2} - 9 = 0

4 x^{(2)} + 4 y^{(2)} - 8 y - 5 = 0

4 y^{2} + 24 y + 4 x^{2} - 12 + 9 = 0

(x + 8)^{2} + (y - 6)^{2} = 100

What is (x-4.5)^2+(y-1.5)^2=5.52 ?
The solution to (x-4.5)^2+(y-1.5)^2=5.52 is Circle with (a,b)=(4.5,1.5),r=2.34946…