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The equation for any circle centered at the origin with a radius r is the following:
By looking at the picture, we can see that the radius is 5. We can also use the distance formula to find the distance between (0,0) and (-3,-4), and we will also get 5.
Thus, r=5.
This makes the equation:
That should be your answer, let me know if this is confusing in any way.
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