SOLUTION: Find the equation of the circle that has End point between the 2 two points A( 4, -3 ); B( -2, 7 )

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Question 481169: Find the equation of the circle that has End point between the 2 two points A( 4, -3 ); B( -2, 7 )
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Standard Form of an Equation of a Circle is %28x-h%29%5E2+%2B+%28y-k%29%5E2+=+r%5E2

where Pt(h,k) is the center and r is the radius



Midpoint Pt(x,y):  ( %28x%5B1%5D+%2B+x%5B2%5D%29%2F2, %28y%5B1%5D+%2B+y%5B2%5D%29%2F2++%29)

A( 4, -3 ) 

B( -2, 7 )  Center of the circle is Pt(1,2)

%28x-1%29%5E2+%2B+%28y-2%29%5E2+=+r%5E2

D = sqrt+%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29%29

A( 4, -3 ) 

B( -2, 7 ) d = sqrt%286%5E2+%2B+%28-10%29%5E2%29=+sqrt%28136%29 d = 11.6619, r =  5.83

%28x-1%29%5E2+%2B+%28y-2%29%5E2+=+34