What is (x-12)^2+y^2=144 ?

The solution to (x-12)^2+y^2=144 is Circle with (a,b)=(12,0),r=12

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(x-12)^2+y^2=144

(x - 12)^{2} + y^{2} = 144

(a, b) = (12, 0), r = 12

Solution steps

(x - 12)^{2} + y^{2} = 144

Rewrite

(x - 12)^{2} + y^{2} = 144

in the form of the standard circle equation

(x - 12)^{2} + (y - 0)^{2} = 1 2^{2}

Therefore the circle properties are:

(a, b) = (12, 0), r = 12

(2 x^{2} + 6 x + 9) + (2 y^{2} + 2 y + 1) = 45 + 9 + 1

4 x^{2} + 4 y^{2} - 16 x - 28 y + 41 = 0

y^{2} = - x^{2} + 196

(x + 7)^{2} + (y - 1)^{2} = 16

x^{2} + (y - 7)^{2} = 49

What is (x-12)^2+y^2=144 ?
The solution to (x-12)^2+y^2=144 is Circle with (a,b)=(12,0),r=12