Answer:
The center of the circle is
( - 4 , 2)
Step-by-step explanation:
Equation of a circle is given by
(x - h)² + ( y - k)² = r²
where r is the radius
(h, k) is the center of the circle
The center of a circle is given by
( - h , - k)
From the question equation of the circle is
( x + 4)² + ( y - 2)² = 16
Comparing with the general equation above
( h , k) = ( 4 , - 2)
The center of the circle is
( - h , - k) = ( - 4 , -(-2))
We have the final answer as
( - 4 , 2)
Hope this helps you
