center (-2,1), radius=4 what is the equation for this one?
center (-2,1), radius=4 what is the equation for this one?
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equation for a circle
(x +2)^2 + (y-1)^2 = 16
form: (x-h)^2 + (y-k)^2 = r^2
(h, k): center
r: radius
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equation of a circle
(x – h)^2 + (y – k)^2 = r^2
the center is (h,k)
r = radius
(x – (-2))^2 + (y – 1)^2 + 4^2
(x + 2)^2 + (y – 1)^2 = 16
0
(x+2)^2 + (y-1)^2 = 16
or
(x+2)(x+2) + (y-1)(y-1) = 16
or
x^2 + 4x + 4 + y^2 -2y + 1 =16
x^2 + 4x + y^2 – 2y -11 = 0
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