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Find the center and the radius of the circle whose equation is x^2+y^2+8x-10y-23=0

Find The Center And The Radius Of The Circle Whose Equation Is X2y28x10y230 class=

Sagot :

Finding the equation of the standard form:

[tex]\begin{gathered} x^2+y^2+8x-10y-23=0 \\ x^2+y^2+8x-10y=23 \\ x^2+8x+16+y^2-10y+25=23+16+25 \\ \\ \\ (x+4)^2+(y-5)^2=64 \end{gathered}[/tex]

Based on the image, h = -4, k = 5 and r = 8, then...

Answer:

Center: ( -4, 5)

Radius: 8

View image MaryaH28680
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