(x - 8)² + (y + 2)² = 49/4
center (h, k) = (8, -2)
radius (r) = 7/2
eq. of circle: (x - h)² + (y - k)² = r²
Standard Form:
(x - 8)² + (y - (-2))² = (7/2)²
(x - 8)² + (y + 2)² = 49/4
General Form:
(x - 8)² + (y + 2)² = 49/4
(x² - 16x + 64) + (y² + 4y + 4) = 49/4
x² + y² - 16x + 4y + 64 + 4 - 49/4 = 0
x² + y² - 16x + 4y + 223/4 = 0
Standard Form: (x - 8)² + (y + 2)² = 49/4
General Form: x² + y² - 16x + 4y + 223/4 = 0