What is x^{(2)}+y^{(2)}=((9))/((4)) ?

The solution to x^{(2)}+y^{(2)}=((9))/((4)) is Circle with (a,b)=(0,0),r= 3/2

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x^{(2)}+y^{(2)}=((9))/((4))

x^{(2)} + y^{(2)} = \frac{( 9 )}{( 4 )}

(a, b) = (0, 0), r = \frac{3}{2}

Solution steps

x^{2} + y^{2} = \frac{9}{4}

Rewrite

x^{2} + y^{2} = \frac{9}{4}

in the form of the standard circle equation

(x - 0)^{2} + (y - 0)^{2} = (\frac{3}{2})^{2}

Therefore the circle properties are:

(a, b) = (0, 0), r = \frac{3}{2}

x^{2} + 12 x + y^{2} - 16 y = 0

(x - 3)^{2} + (y - 8)^{2} = 36

(x - 3)^{2} + (y - 8)^{2} = 34

y^{2} + x^{2} = 20 5^{2}

x^{2} + y^{2} - 12 x + 2 y + 12 = 0

What is x^{(2)}+y^{(2)}=((9))/((4)) ?
The solution to x^{(2)}+y^{(2)}=((9))/((4)) is Circle with (a,b)=(0,0),r= 3/2