Answer:
( x + 2 )² + ( y - 4 )² = 36
Step-by-step explanation:
Standard equation of a circle - ( x - h )² + ( y - k )² = r²
where r = radius and center is at ( h , k )
The given center is ( -2 , 4 )
Thus h = -2 and k = 4
and the given radius is 6
Thus, r = 6
that being said, we plug in the given values into the standard equation
( x - ( - 2 )² + ( y - 4 )² = 6²
Finally we simplify
In - ( -2 ) the two negative signs cancel out and it turns into + 2
6² = 36
The final equation of the circle is ( x + 2 )² + ( y - 4 )² = 36
