Show that the equation represents a circle by rewriting it in standard form, and

Algebra
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Show that the equation represents a circle by rewriting it in standard form, and find the center and radius of the circle.

x2 + y2 − 2x + 8y + 16 = 0
standard form    
center    (xy) = ( )
radius    
Feb 2nd, 2015

Re-organization the equation putting x and y terms together:

x^2 - 2x + y^2 + 8y = -16

(x -1)^2 + (y+4)^2 = -16 +1 + 16

therefore, (x - 1)^2 + (y+4)^ = 1

center is (1,-4)  radius is 1

Feb 2nd, 2015

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Feb 2nd, 2015
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