Which equation represents a circle that contains the point (-5, 3) and has a center at (-2, 1)? Distance formula: vaa -02 (x - 1)2 + ( + 2)2 = 25 (x + 2)2 + (-1)=5 O (* + 2) + (-1) - 25 (x-1) + ( + 2) = 5 ​

Given:

The center of the circle = (-2,1).

Circle passes through the point (-5,3).

To find:

The equation of the circle.

Solution:

Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).

On further simplification, we get

The standard form of a circle is:

Where, (h,k) is the center of the circle and r is the radius of the circle.

Substitute h=-2, k=1 and .

Therefore, the equation of the circle is .

answer: all the values are within because it has a pattern that repeats from -6 to 4.

good luck!