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Find the radius of the circle with equation \( 9x^2-18x+9y^2+36y+44=0 \)

 Oct 5, 2022
 #1
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Split up the 44 to + 9 and + 36 - 1

Factor out the 9:

9(x^2 - 2x + 1) + 9(y^2 + 4y + 4) - 1 = 0

(x-1)^2 + (y+2)^2 = 1/9 = r^2

r = 1/3

 Oct 5, 2022

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