6.0/2 points | Previous Answers scalcet7 0.diagnostic.analyticgeometry.003.nvaMy

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6.0/2 points  |  Previous Answers scalcet7 0.diagnostic.analyticgeometry.003.nvaMy Notes  |

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Find the center and radius of the circle with equation

x2 + y2 ? 4x + 10y + 4 = 0.

center     

(x, y) =

radius

If you have had difficulty with this problem, you may wish to consult the Review of Analytic Geometry on the website StewartCalculus.com.

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Explanation / Answer

it is in the form of x^2+y^2+2gx+2fy+c=0

here : g=-2 , f=5 and c=4

Center is (-g,-f)=(2,-5)

Radius is =sqr(f^2+g^2-c)

=sqr(25+4-4)

=sqr(25)

=5

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