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The Cookie Monster encounters a cookie whose boundary is the equation $x^2+y^2 - 6 = 6x + 2 y$ and is very confused. He wants to know if this cookie is a lunch-sized cookie or a snack-sized cookie. What is the radius of this cookie?

 Oct 3, 2021
 #1
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Completing the square, you get that the radius is 8.

 Oct 3, 2021
 #2
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it's actually 4

Guest Oct 4, 2021
 #3
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\(x^2+y^2 - 6 = 6x + 2 y\\ (x^2-6x)+(y^2-2y)=6\\ (x^2-6x+9)+(y^2-2y+1)=6+10\\ (x-3)^2+(y-1)^2=4^2 \)

 

 

 

the radius is 4 units

 Oct 9, 2021

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