SOLUTION: Identify the center and radius of the circle with the given equations. x^2 + y^2 + 8y -9 = 0

Algebra.Com
Question 1186656: Identify the center and radius of the circle with the given equations.
x^2 + y^2 + 8y -9 = 0

Answer by ikleyn(52803)   (Show Source): You can put this solution on YOUR website!
.

Transform given equation to the standard equation of a circle.


    x^2 + y^2 + 8y -9 = 0


    x^2 + y^2 + 8y = 9


    x^2 + (y^2 + 8y + 16) = 9 + 16


    x^2 + (y^2 + 4)^2 = 25


The circle with the center at (0,-4) and the radius of 5.    ANSWER

Solved.



RELATED QUESTIONS

Find the center and radius of the circle with the given equation.... (answered by fractalier,Cromlix)
Identify the center and radius of the circle with the given equation. x^2 + (y+4)^2 - 25 (answered by ikleyn)
Given the equation (x - 2)2 + (y - 6)2 = 9 of a circle, identify the center and the... (answered by mananth)
Find the center and radius of the circle: x^2 + y^2 - 6x + 8y + 21 =... (answered by Nate)
Find the center and radius of the circle... (answered by Fombitz,solver91311)
Find the center and radius of the circle with standard equation... (answered by josgarithmetic)
Consider the circle x^2+y^2-6x-8y=0 Find the center and radius of the... (answered by ewatrrr)
Given: x^2+y^2-6x+8y-11=0. 1. Find the equation of the circle in standard form. 2.... (answered by Theo)
Find the center and radius of the circle given by... (answered by stanbon)