Problem

Determine the equation of the circle with center $(9, - 5)$ containing the point $(10, 2)$

Answer

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Answer

$(x - 9)^{2} + (y + 5)^{2} = 58$

Steps

Step 1 ： $d = \sqrt{(10 - 9)^{2} + (2 + 5)^{2}}$

Step 2 ： $d = \sqrt{1^{2} + 7^{2}} = \sqrt{50}$

Step 3 ： $(x - 9)^{2} + (y + 5)^{2} = 58$

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