SOLUTION: Give the equation, in polynomial form, of the circle if (-17,7) and (13,-9) are endpoints of a diameter of the circle.

Question 753012: Give the equation, in polynomial form, of the circle if (-17,7) and (13,-9) are endpoints of a diameter of the circle.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Give the equation, in polynomial form, of the circle if (-17,7) and (13,-9) are endpoints of a diameter of the circle.
-----------------------------
The midpoint of that diameter is (x,y)
where
x = (13-17)/2 = -2
y = (7-9)/2 = -1
-----------------------
So the center of the circle is (-2,-1)
------------------------
radius = distance from (-2,-1) to (13,-9)
= sqrt[(-9--2)^2 + (13--2)^2]
--------
= sqrt[7^2 + 15^2]
--------
= sqrt[274]
-----
Equation: (x-2)^2 + (y+1)^2 = 274
===================================
Cheers,
Stan H.
==================
RELATED QUESTIONS
Write the equation of a circle in standard form if the endpoints of the diameter are... (answered by lwsshak3)

The endpoints of the diameter of the circle are (4,5) and (8,7). Find the equation of the (answered by ikleyn)

The two points (-2,4) and (4,2) are the endpoints of the diameter of a circle. Write the... (answered by robertb)

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

The two points (-2,4) and (4,2) are the endpoints of the diameter of a circle. What is... (answered by jim_thompson5910)

The endpoints of a diameter of a circle are (-4,7) and (2, -1). What is the equation of... (answered by stanbon)

give the equation of a circle with a diameter that has endpoints (-8,9) and (-6,8) (answered by josgarithmetic)

Points (1, 5) and (-7, 9) are endpoints of the diameter of a circle. What is the... (answered by ewatrrr)

Find an equation of the circle that satisfies the stated conditions. (Give your answer in (answered by stanbon)