Answer:
(x + 4)² + (y + 10)² = 9
Explanation:
The standard equation of a circle is written as seen below
(x - h)² + (y - k)² = r²
Where (h,k) is at the center and r is the radius
We want to find the standard equation of a circle that has a radius of 3 and a center at (-4,-10)
Remember r = radius so r = 3
and (h,k) is at center so h = -4 and k = -10
Now to find the standard equation of the circle we simply plug in the values of the variables (h,k and r) into the standard equation of a circle formula.
Equation of a circle: (x - h)² + (y - k)² = r²
r = 3, h = -4 and k = -10
Plug in values
(x - (-4))² + (y - (-10))² = 3²
Simplify
(x + 4)² + (y + 10)² = 9
And we are done!