Answer:
Center ( 4 , -2) and r = 6
Step-by-step explanation:
x² - 8x + y² + 4y - 16 = 0
x² - 8x + y² + 4 y = 16
x²- 2*4x + y² + 2 *2y = 16
(x² - 2*4x + 16 ) - 16 + (y² + 2*2y + 4) -4 = 16
(x - 4)² + (y + 2)² = 16 + 16 + 4
(x - 4)² + (y -[-2])² = 36
(x- 4)² + ( y - [-2] )² = 6²
Compare with (x - h)²+ (y - k)² = r²
Center ( 4 , -2) and r = 6
