SOLUTION: Find the center of the circle with points (-7,0) , (-3,4) , and (7,0).

Question 1041238: Find the center of the circle with points (-7,0) , (-3,4) , and (7,0).
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Part of an explanation on " Ask Dr. Math" says:
------------------------------
"Let the equation of the circle be
(x-h)^2 + (y-k)^2 = r^2,
and substitute the three known points, getting 3 equations in 3
unknowns h, k, and r:
(x1-h)^2 + (y1-k)^2 = r^2
(x2-h)^2 + (y2-k)^2 = r^2
(x3-h)^2 + (y3-k)^2 = r^2 "
---------------------------------
(-7,0)
(-3,4)
( 7, 0)
These points give me the equations:
(1)
(2)
(3)
----------------------------------
From (1) and (3), I get:
(3)
(3)
(3)
(3)
(3)
(3)
(3)
----------------
Plug this result into (2)
(2)
(2)
(2)
(2)
-------------------------
From (3):
(3)
(3)
and, plugging into (2)
(2)
(2)
(2)
(2)
------------------
The center is at ( 0, -3 )
---------------------
check:
(3)
(3)
(3)
--------------------
The equation is:

Plug in (-7,0)

OK
Plug in (-3,4)

OK
plug in (7,0)

OK
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