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What is the equation of a circle, in the form, \(\left(x-h\right)^{2} +\left(y-k\right)^{2} =r^{2} ,\) if the center of the circle is at the point \(\left(-5,-3\right)\) and the point \(\left(1,3\right)\) is on the circle? Enter your answer in the correct form, and in your own words, indicate how you arrived at the answer giving proper steps or justification.
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