What is the radius of a circle represented by the given equation?
x2 + y2 – 4x – 6y + 12 = 0?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
@aum
OpenStudy (anonymous):
Huey Freeman?
OpenStudy (anonymous):
That Be me
OpenStudy (anonymous):
Cool :D
OpenStudy (anonymous):
Its either 5 or 12
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (aum):
x^2 + y^2 – 4x – 6y + 12 = 0
Group the x-terms together and the y-terms together:
(x^2 - 4x) + (y^2 - 6y) + 12 = 0
Complete the square of x^2 - 4x
Complete the square of y^2 - 6y
What do you get?
OpenStudy (anonymous):
12
OpenStudy (aum):
You need to complete the square first.
OpenStudy (anonymous):
Idk
OpenStudy (anonymous):
@aum
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (aum):
Looks like you just want answers and I am sorry I can't do that.
You should learn how to complete squares.
OpenStudy (anonymous):
I think I know what your talking about but I dont want to do anything wrong
OpenStudy (anonymous):
Im unsure
OpenStudy (anonymous):
(x-2)^2 +(y-3)^2 =12+ (-2)^2 +(-3)^2
OpenStudy (aum):
The 12 on the RHS should be -12.
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
(x-2)^2 +(y-3)^2=
OpenStudy (aum):
(x-2)^2 +(y-3)^2 =-12+ (-2)^2 +(-3)^2
(x-2)^2 +(y-3)^2 =-12+ 4 + 9 = -12 + 13 = 1
(x-2)^2 +(y-3)^2 =1 = (1)^2
Compare it to: (x-h)^2 + (y-k)^2 = r^2
where (h, k) is the center of the circle and 'r' is the radius.
They just want 'r' in this problem. r = ?