SOLUTION: Find an equation of the circle whose diameter has endpoints (-5,-5) and (3,1)

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Question 1134505: Find an equation of the circle whose diameter has endpoints (-5,-5) and (3,1)

Found 2 solutions by mathsolverplus, josmiceli:
Answer by mathsolverplus(88)   (Show Source): You can put this solution on YOUR website!
Find the distance between the two points first:



If diameter = 10, radius = 5 because radius is half of diameter.
Now, we need to find the center of the circle, which is midpoint between the two given points.
Midpoint = ((-5+3)/2, (-5+1)/2)
= (-1, -2)
The equation of a circle:
(h,k) is the center and r = 5
We found center to be (-1,-2) and radius = 5:
Solution:


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Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Find the center of the endpoints



and



---------------------------
The center is at ( -1, -2 )

-----------------------------------
Find the length of the radius





--------------------


-----------------------------------------
check:
( -5,-5 )


OK
( 3,1 )


OK

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