Respuesta :

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

[tex] \textbf{Here we go } [/tex] ~

[tex] \textsf{Standard equation of a circle is : } [/tex]

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

[tex] \textbf{where,} [/tex]

  • [tex] \textsf{h = x - coordinate of centre = 0} [/tex]

  • [tex] \textsf{k = y - coordinate of centre = 0} [/tex]

  • [tex] \textsf{r = radius of the circle = 8 units} [/tex]

[tex] \texttt{Now, let's plug the values accordingly } [/tex]~

[tex]\qquad \sf  \dashrightarrow \:(x - 0) {}^{2} + (y - 0) {}^{2} = {8}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:(x ) {}^{2} + (y ) {}^{2} = {64}^{} [/tex]

[tex] \texttt{That's the required equation} [/tex] ~