[tex]\sqrt{10}[/tex]
Step-by-step explanation:
Define your points x1, y1 and x2, y2
(x1,y1) = (-4,-2)
(x2,y2) = (-5,1)
Use the distance formula, the distance between the center and that point is the radius of the circle.
[tex]\sqrt{(x2-x1)^{2} +(y2-y1)^{2}}\\\sqrt{(-5--4)^{2} +(1--2)^{2}}\\\\\sqrt{(-1)^{2} +(3)^{2}}\\\\\sqrt{1 +9}\\\\\sqrt{10}\\[/tex]