SOLUTION: What is the equation of the following graph? circle through the points (7, 5), (3, 9), (negative 1, 5) and (3, 1) Picture http://prntscr.com/fbpaop

Algebra.Com
Question 1082611: What is the equation of the following graph?
circle through the points (7, 5), (3, 9), (negative 1, 5) and (3, 1)
Picture http://prntscr.com/fbpaop

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
The center is at (3, 5) with radius 4. That is sufficient information.
(x-3)^2+(y-5)^2)=16. Change the sign for the center, and square the radius.

Answer by ikleyn(52834)   (Show Source): You can put this solution on YOUR website!
.
The center of the circle is the intersection of the perpendicular bisectors to the segments connecting these points:

a)  (7,5) and (-1,5);   and

b) (3.9) and (3,1).


The perpendicular bisector to the segment a) is vertical   line x = 3.

The perpendicular bisector to the segment b) is horizontal line y = 5.


Hence, the center of the circle is the point (x,y) = (3,5).


From this point please complete the assignment on your own.


RELATED QUESTIONS

What is the center of the following graph? circle through the points (8, negative 1),... (answered by Boreal)
What is the equation of the following graph? ellipse through the points (1, negative... (answered by natolino_2017)
find the equation of the circle passes through points (6,-6), (-1,-5) and (-7,-5) (answered by josgarithmetic)
Write the equation of the line passing through the points ( negative 2,... (answered by algebrahouse.com)
Find the equation of the circle passing through the points (1,2),(3,6),(5,4). (answered by josgarithmetic,ikleyn,timofer,math_tutor2020,MathTherapy)
The graph of f contains the points (1, 3), (5, 7), and (7, 3). What is f(5)? (answered by Alan3354)
Hi, these are five questions which I need help in Write the general equation for the... (answered by Alan3354,Boreal,solver91311,ikleyn)
Three points; (0,0),(3,1) and (5,7) lie on a circle. Find the equation of the circle.... (answered by Alan3354)
find the equation of the circle that passes through the 3 points (5, -7), (2, -4), and... (answered by solver91311,MathLover1,greenestamps)