the standard equation for a circle with center at the origin is
[tex] {x}^{2} + {y }^{2} = {r}^{2} [/tex]
and as the radius of thr circle is 10 that is the value if r so
[tex] {x}^{2} + {y}^{2} = {10}^{2} [/tex]
or
[tex] {x}^{2} + {y}^{2} = 100[/tex]
is the equation of the circle
