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

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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
User Luukvhoudt
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