Give the equation for a circle with the given center and radius.

Center at (-10, - 4), radius = 5

The equation of circle can be given as:

(x-h) ² + (y-k) ²=r²

where (h, k) is center of circle and r is radius

the center is at (-10,-4) and radius = 5

so equation becomes,

(x - (-10)) ² + (y - (-4)) ²=5²

(x+10) ² + (y+4) ²=25

The equation of the circle with the center at (-10,-4) and radius 5 is

(x+10) ² + (y+4) ²=5²