The point r(-6,-5) lies on the circle.
Explanation
Given that the center of the circle=(-2,-2)
diameter=10 units
we have to determine which point among the given points lies on the circle.
radius=diameter/2=10/2=5 units
let (x,y) be a point on the circle
The distance between the center and (x,y) is equal to the radius of the circle
The distance between them=[tex]\sqrt{(x-(-2))^2+y-(-2))^2}=5\\\\ \sqrt{(x+2)^2+(y+2)^2} =5\\\\[/tex]
squaring both sides [tex](x+2)^2+(y+2)^2=25\\[/tex]
The option (-6,-5) satisfies the equation
therefore the point that lies on the circle is (-6,-5)
