SOLUTION: find the center and radius of the circle with the equation x^2+y^2=2x-2y+7
Algebra.Com
Question 268167: find the center and radius of the circle with the equation x^2+y^2=2x-2y+7
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Variables to the left, constants to the right:
Group like variables:
Complete the square on 
. Divide the coefficient on the 1st degree -term by 2 and square the result. Add that result to both sides of the equation: (-2 divided by 2 is -1. -1 squared is 1. Add 1 to both sides)
Complete the square on 
. Divide the coefficient on the 1st degree -term by 2 and square the result. Add that result to both sides of the equation: (2 divided by 2 is 1. 1 squared is 1. Add 1 to both sides)
Factor the trinomial in :
^2\ +\ y^2\ +\ 2y\ +\ 1\ =\ 9)
Factor the trinomial in :
^2\ +\ \left(y\,+\,1\right)^2 =\ 9)
The equation of a circle with center at )
and radius 
is:
^2\ +\ \left(y\,-\,k\right)^2\ =\ r^2)
^2\ +\ \left(y\,-\,(-1)\right)^2 =\ 3^2)
Your center is at )
and radius is 
John
RELATED QUESTIONS
Write the equation of a circle in standard form, then find the center and radius of the... (answered by meetkisai)
Find the center and radius of the circle with equation: x^2 + (y-4)^2... (answered by Alan3354)
Find the center and radius of the circle given by the equation x^2 + y^2 - 8x + 2y - 11 = (answered by nerdybill)
Find the center and radius of the circle
{{{... (answered by richwmiller)
Find the center and radius of the circle... (answered by ewatrrr)
Find the center and radius of the circle:... (answered by stanbon)
find the center and radius given the following equation of a circle... (answered by dabanfield)
Find the center and radius of the circle (x-5)2 + y2 +... (answered by Alan3354)
If the radius of the circle x^2+y^2-6x+4y+k=0 find the equation of the circle with center (answered by ikleyn,josgarithmetic,Alan3354)