Math  /  Geometry

QuestionTatenda has a circle with an equation x2+y28x+4y+4=0x^{2}+y^{2}-8 x+4 y+4=0. Find the coordinates of the centre of this circle.

Studdy Solution
Identify the coordinates of the center from the standard form of the circle equation, (xh)2+(yk)2=r2(x - h)^2 + (y - k)^2 = r^2.
From the equation (x4)2+(y+2)2=16(x - 4)^2 + (y + 2)^2 = 16, we can see that the center (h,k)(h, k) is (4,2)(4, -2).
The coordinates of the center of the circle are (4,2)(4, -2).

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