Common Core Standard HSG-GPE.A.1 Questions

Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

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Grade 12 Circles CCSS: HSG-GPE.A.1

What is the equation for a circle with center

$(1,-4)$ and the outer point of the radius at

$(-3,-5)$ ?

$(x-1)^2+(y+4)^2=15$
$(x+1)^2+(y-4)^2=15$
$(x-1)^2+(y+4)^2=17$
$(x-1)^2+(y+4)^2=289$

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