SOLUTION: the points (-1,4) and (3,-2) are the endpoints of a diameter of a circle. Find the center of the circle, and the radius, and write the equation of the circle.
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Question 609537: the points (-1,4) and (3,-2) are the endpoints of a diameter of a circle. Find the center of the circle, and the radius, and write the equation of the circle.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Use the midpoint formulas to calculate the midpoint of the diameter, which is to say the center of the circle.
and
where )
and )
are the coordinates of the given diameter endpoints.
Use the distance formula to calculate the measure of the radius of the circle
^2\ +\ (y_1\ -\ y_2)^2})
where and are the coordinates of either diameter endpoint and the calculated diameter midpoint.
Write the equation of the circle centered at )
with radius 
:
^2\ +\ (y\ -\ h)^\ =\ r^2)
John
My calculator said it, I believe it, that settles it
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