Respuesta :

[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

The equation of circle in standard form can be represented as :

[tex]\qquad \sf  \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]

where,

  • h = x - coordinate of centre = 0

  • k = y - coordinate of centre = 0

  • r = radius of circle = 6 units

now, let's plug in the values :

[tex]\qquad \sf  \dashrightarrow \:(x - 0) {}^{2} + (y - 0) {}^{2} = 6 {}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {x}^{2} + {y}^{2} = 36[/tex]

That's the required equation of circle.