Question

Which point is on the circle with center (-3,-1) that contains the point (1, 2)?

Answer 1

Answer:

Any point that is 5 units from the center

Step-by-step explanation:

The given circle is centered at;

(-3,-1) and contains (1,2).

The radius is given by:

$r = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}$

We substitute the point to get:

$r = \sqrt{(1- - 3)^2 +(2- - 1)^2}$

$r = \sqrt{4^2 +3^2}$

$r = \sqrt{25} = 5$

Therefore any point that is 5 units from the center lies on this circle.