What is 25^2=a^2+b^2 ?

The solution to 25^2=a^2+b^2 is Circle with (a,b)=(0,0),r=25

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25^2=a^2+b^2

2 5^{2} = a^{2} + b^{2}

(a, b) = (0, 0), r = 25

Solution steps

2 5^{2} = a^{2} + b^{2}

Rewrite

2 5^{2} = a^{2} + b^{2}

in the form of the standard circle equation

(a - 0)^{2} + (b - 0)^{2} = 2 5^{2}

Therefore the circle properties are:

(a, b) = (0, 0), r = 25

x^{2} + y^{2} - 10 x - 2 y + 10 = 0

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

(x - 7)^{2} + (y - 4)^{2} = 25

x^{2} + y^{2} + 6 x + 4 y + 9 = 0

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

What is 25^2=a^2+b^2 ?
The solution to 25^2=a^2+b^2 is Circle with (a,b)=(0,0),r=25