Find an equation of a circle that satisfies the following condition. Write your answer in standard form. Center: ; passing through

Question

Find an equation of a circle that satisfies the following condition. Write your answer in standard form. Center:  ; passing through

Quizplus · Accepted Answer

The equation of a circle with center $(a,b)$ and radius $r$ is $(x-a)^2+(y-b)^2=r^2$. Using the given center and the point it passes through, we can determine the radius: $$r=\sqrt{(11e\cdot16-ec1a\cdot15)^2+(1695\cdot15-abe3\cdot16)^2}=\sqrt{5370}.$$ Therefore, the equation of the circle is $$(x-11e\cdot16)^2 + (y-ec1a\cdot15)^2 = 5370.$$ We can simplify this to standard form: $$x^2-352ex+3136e^2+y^2-4845a+145800=0.$$ Thus, the correct choice is $\boxed{	extbf{(D)}}$.

Find an Equation of a Circle That Satisfies the Following