Question

Type the correct answer in each box. A circle is centered at the point (5,-4) and passes through the point (-3,2). The equation of this circle is

Answer 1

firts we need to find the radius of the circle. To do this we have to find the distance of the two points given in the problem

$d=r=\sqrt[]{(-3-5)^2+(2-(-4))^2}=\sqrt[]{64+36}=\sqrt[]{100}=10$

having the radius we have that the equation of this circle is

$(x+-5)^2+(y+4)^2=100$