Respuesta :
Equation for a circle with center (0, −4) and radius 8 is x²+y²+8y-48 = 0
Step-by-step explanation:
Equation of circle with (h,k) as center and radius r is given by,
(x-h)²+(y-k)² = r²
Here we need to find equation for a circle with center (0, −4) and radius 8.
Center = (h,k) = (0, −4)
Radius = r = 8
Substituting in equation
(x-h)²+(y-k)² = r²
(x-0)²+(y-(-4))² = 8²
x²+(y+4)² = 64
x²+y²+8y+16 = 64
x²+y²+8y-48 = 0
Equation for a circle with center (0, −4) and radius 8 is x²+y²+8y-48 = 0
