SOLUTION: A circle has a diameter AB wher A is the point (6,4) and B is the point (-2,2). Find the radius of th circle and the equation of the circle in general form

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Question 480523: A circle has a diameter AB wher A is the point (6,4) and B is the point (-2,2). Find the radius of th circle and the equation of the circle in general form
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A circle has a diameter AB wher A is the point (6,4) and B is the point (-2,2)

 (6,4)

 (-2,2  

diameter length = sqrt(8^2 + 2^2) = sqrt(68) |D = sqrt+%28%28x%5B1%5D-x%5B2%5D%29%5E2%2B%28y%5B1%5D-y%5B2%5D%29%5E2%29%29

  r = 1/2sqr5t(68) = sqrt(17) 

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

%28x-h%29%5E2+%2B+%28y-k%29%5E2+=+17

 (6,4)

 (-2,2  C = (2, 3) Midpoint Pt(x,y):  ( %28x%5B1%5D+%2B+x%5B2%5D%29%2F2, %28y%5B1%5D+%2B+y%5B2%5D%29%2F2++%29)

%28x-2%29%5E2+%2B+%28y-3%29%5E2+=+17