What is the radius 16x^2+16y^2+96x-40y=315 ?

The radius 16x^2+16y^2+96x-40y=315 is r= 11/2

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radius 16x^2+16y^2+96x-40y=315

radius

16 x^{2} + 16 y^{2} + 96 x - 40 y = 315

r = \frac{11}{2}

Solution steps

16 x^{2} + 16 y^{2} + 96 x - 40 y = 315

Rewrite

16 x^{2} + 16 y^{2} + 96 x - 40 y = 315

in the form of the standard circle equation

(x - (- 3))^{2} + (y - \frac{5}{4})^{2} = (\frac{11}{2})^{2}

Therefore the circle properties are:

(a, b) = (- 3, \frac{5}{4}), r = \frac{11}{2}

And the radius is:

r = \frac{11}{2}

x^{2} + y^{2} + 6 x - 4 y + 3 = 0

x^{2} + y^{2} - 2 x - 6 y - 6 = 0

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

x^{2} + y^{2} = 3

x^{2} + y^{2} + 14 x - 2 y + 25 = 0

What is the radius 16x^2+16y^2+96x-40y=315 ?
The radius 16x^2+16y^2+96x-40y=315 is r= 11/2