Answer:
-The radius:
[tex]r=2[/tex]
-The result for the equation of a circle (if needed):
[tex](x+4)^2 +(y-5)^2=4[/tex]
Step-by-step explanation:
-The equation of a circle is:
[tex](x - h)^2 +(y-k)^2=r^2[/tex] where the center is [tex](h,k)[/tex], the point [tex](x,y)[/tex] and the radius is [tex]r[/tex],
-Next, use the center (-4,5) and the point (-4,3) for this equation:
[tex](-4+4)^2 +(3-5)^2=r^2[/tex]
-Then, you solve the equation:
[tex](-4+4)^2 +(3-5)^2=r^2[/tex]
[tex]0 +(-2)^2=r^2[/tex]
[tex]4 = r^2[/tex]
[tex]\sqrt{4} =\sqrt{r^2}[/tex]
[tex]2 = r[/tex]
Therefore, the result for the radius is 2.
-The result for the equation of a circle:
[tex](x+4)^2 +(y-5)^2=4[/tex]
