Question

Find the equation of a circle with center at the origin and x intercepts 10 and -10

Answer 1

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