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