What is the radius of a circle whose equation is x2 + y2 – 10x + 6y + 18 = 0? how many units?

asked Mar 27, 2018 42.7k views

4 votes

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5 votes

(X^2.5x+25)+(y^2.3y+9)+18-25-9=0
(X-5)^2+(y+3)^21=16
Radius is 4

Deniesha answered Mar 28, 2018

8.2k points

7 votes

$x^2 + y^2 - 10x + 6y + 18 = 0\\\\ x^2-10x+y^2+6y+18=0 \\\\ (x-5)^2-25+(y+3)^2-9+18=0\\\\ (x-5)^2+(y+3)^2=16\\\\ r^2=16$

$r = √(16) \\\\ r=4$

Wes McKinney answered Mar 31, 2018

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