SOLUTION: find the standard form of the equation of the circle with the endpoints of the diameter at the points of (5,2) and (-9,6)

Question 215740: find the standard form of the equation of the circle with the endpoints of the diameter at the points of (5,2) and (-9,6)
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
find the standard form of the equation of the circle with the endpoints of the diameter at the points of (5,2) and (-9,6)
-----------
The diameter is the distance between the 2 points.
d^2 = diffy^2 + diffx^2 = 4^2 + 14^2
d^2 = 212
-----------
The center is the midpoint. Find the average of x and y separately.
x: (5-9)/2 = -2
y: (2+6)/2 = 4
Center at (2,-4)
(x-2)^2 + (y-4)^2 = 212 is the circle

RELATED QUESTIONS
Find the standard form of the equation of a circle with endpoints of a diameter at the... (answered by lynnlo)

find the standard form of the equation of a circle with endpoints of a diameter at the... (answered by nshah11)

Find the equation, in standard form, of the circle. Diameter with endpoints (-2,-1) and... (answered by josgarithmetic,ikleyn,MathTherapy)

Need to find the standard form of the equation of a circle with endpoints of a diameter... (answered by josgarithmetic)

Find the standard form of the equation of the circle with the given characteristics.... (answered by Boreal)

find the equation of the circle (standard form) the circle has a diameter with... (answered by lwsshak3)

Find the equation of the circle, in general form, that has endpoints of a diameter at the (answered by stanbon)

find the equation, in standard form, of the circle being described in each item.... (answered by mathmate)

Please help me find the general form of the equation of the circle With endpoints of a... (answered by jim_thompson5910)