## Furthest Distance of a Point on a Circle From the Origin

For the circle

\[(x-2)^2+(y-3)^2=5^2\]

with centre \[(2,3)\]

and radius 5, the furthest distance is \[\sqrt{2^2+3^2}+5=\sqrt{13}+5\]

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For the circle

\[(x-2)^2+(y-3)^2=5^2\]

with centre \[(2,3)\]

and radius 5, the furthest distance is \[\sqrt{2^2+3^2}+5=\sqrt{13}+5\]

.