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for a circle defined by the given equation, what are the coordinates of the center and the length of the radius? x2 y2 − 4⁢x − 10⁢y 20

Sagot :

center=(2,-5) and radius =3

the general form of the equation of a circle is                                                                          [tex]x^{2} +y^{2} +2gx+2fy+c=0[/tex]

in this equation [tex]x^{2} +y^{2} -4x+10y+20=0[/tex]

comparing the coefficient   2g=  -4 this implies g= -2

2f=10 this implies f=5 and c=20

center=(-g, -f)= ( 2, -5)

and r=[tex]\sqrt{g^2+f^2-c}[/tex]=  [tex]\sqrt{( -2)^2+5^2-20}[/tex]

we get r= 3

learn more of radius and center here https://brainly.com/question/426029

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