SOLUTION: The endpoints of a diameter of a circle are (-4,7) and (2, -1). What is the equation of the circle in standard form?

Question 255757: The endpoints of a diameter of a circle are (-4,7) and (2, -1). What is the equation of the circle in standard form?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
The endpoints of a diameter of a circle are (-4,7) and (2, -1). What is the equation of the circle in standard form?
------------------
Find the center and the radius.
Center:
x = (-4+2)/2 = -1
y = (7-1)/2 = 3
-------------------------------
Radius:
d = sqrt[(-4-2)^2 + (7--1)^2]
d = sqrt[36 + 64]
d = sqrt(100)
d = 10
------------------------
Equation:
(x+1)^2 + (y-3)^2 = 10^2
=================================
Cheers,
Stan H.
RELATED QUESTIONS
The two points (-2,4) and (4,2) are the endpoints of the diameter of a circle. What is... (answered by jim_thompson5910)

Write the equation of a circle in standard form if the endpoints of the diameter are... (answered by lwsshak3)

find the equation of the circle (standard form) the circle has a diameter with... (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 points (2, 5) and (4, �1) are endpoints of the diameter of a circle. (a) State... (answered by Fombitz)

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

1.Find the equation of a circle whose diameter has endpoints (4, -1) and (-6, 7). (answered by Alan3354)

What is the center of the circle that has a diameter whose endpoints are (2, 7) and (-6,... (answered by josgarithmetic)

Find the equation of a circle whose diameter has endpoints (4, -1) and (-6, 7). (answered by ewatrrr)