SOLUTION: Find the CENTER and the LENGTH of a radius of the circle. x2 + y2 + 16x + 4y + 59 = 0

Question 457912: Find the CENTER and the LENGTH of a radius of the circle.
x2 + y2 + 16x + 4y + 59 = 0
Found 2 solutions by robertb, stanbon:
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
The expression is equivalent to

The center of the circle is then (-8, -2) and the radius is .
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the CENTER and the LENGTH of a radius of the circle.
x^2 + y^2 + 16x + 4y + 59 = 0
-------------------------
Complete the square on the x-terms and on the y-terms.
----------------------------
x^2+16x+64 + y^2+4y+4 = -59+64+4
--------
(x+8)^2 + (y+2)^2 = 9
---
center at (-8,-2)
radius = sqrt(9) = 3
=========================
Cheers,
Stan H.

RELATED QUESTIONS
Find the center and the radius of the circle x2 � 6x + y2 � 4y + 4 = 0. (answered by bucky)
. Find the center and radius of the circle whose equation is x2 + 2x + y2 � 4y + 1 = 0. (answered by stanbon)
find the center and the radius of the circle: x2 + y2 - 12x-16y-21... (answered by joyofmath,Earlsdon)
find the center and the radius of the circle x2+y2 -... (answered by Fombitz)
find the center and radius of the circle with equation... (answered by Earlsdon)
. Find the center and radius of the circle whose equation is x2 + y2 � 4 = 0. (answered by Alan3354)
Find the center and radius of the following circle: x2 + y2 - 12x + 8y - 29 =... (answered by josgarithmetic,MathLover1,Alan3354)
Find the center of a circle with the equation x2 + y2 + 2x + 4y - 9 =... (answered by Nate)
Find the center of a circle with the equation x2 + y2 + 2x + 4y - 9 =... (answered by orca)