# Find an equation of the circle that satisfies the given conditions. Center (-a, a) and radius 5a

Find an equation of the circle that satisfies the given conditions.
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General equation of circle with centre
1 radius $⇒\left(x-a{\right)}^{2}+\left(y-t{\right)}^{2}={r}^{2}\phantom{\rule{0ex}{0ex}}\therefore \left(x-\left(-a{\right)}^{2}{\right)}^{2}+\left(y-a{\right)}^{2}=\left(5a{\right)}^{2}\phantom{\rule{0ex}{0ex}}\left(x+a{\right)}^{2}+\left(y-a{\right)}^{2}=25{a}^{2}$