Answer:
The point N lies inside the circle
Step-by-step explanation:
A circle is centered at the point T(-6,3) and has a radius of r=1.
To determine if the point N(3,-3) is inside or outside the circle, the distance between N and the point T must be lower than 11.
To calculate the distance between points T and N you use:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where x1 and y1 are the coordinates of T, and x2 and y2 the coordinates of N.
[tex]d=\sqrt{(3-(-6))^2+(-3-3)^2}=\sqrt{9^2+6^2}=10.81[/tex]
d < 11
The distance d is lower than the radius of the circle. Hence, the point N lies inside the circle
