What is 1/3 x^2+1/3 y^2=21 ?

The solution to 1/3 x^2+1/3 y^2=21 is Circle with (a,b)=(0,0),r=3sqrt(7)

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1/3 x^2+1/3 y^2=21

\frac{1}{3} x^{2} + \frac{1}{3} y^{2} = 21

(a, b) = (0, 0), r = 37

Solution steps

\frac{1}{3} x^{2} + \frac{1}{3} y^{2} = 21

Rewrite

\frac{1}{3} x^{2} + \frac{1}{3} y^{2} = 21

in the form of the standard circle equation

(x - 0)^{2} + (y - 0)^{2} = (37)^{2}

Therefore the circle properties are:

(a, b) = (0, 0), r = 37

a^{2} + b^{2} = 45

a^{2} + b^{2} = 34

x^{2} + y^{2} = x + 8 y

x^{2} + y^{2} - 12 x + 14 y + 21 = 0

(x - 5)^{2} + (y + 2)^{2} = 121

What is 1/3 x^2+1/3 y^2=21 ?
The solution to 1/3 x^2+1/3 y^2=21 is Circle with (a,b)=(0,0),r=3sqrt(7)