SOLUTION: Points (2,1) and (4,-7) are endpoints of the diameter of a circle. What is the length of the diameter, center of the circle and equation of the circle? Thanks and please show wo

Algebra ->  Coordinate-system -> SOLUTION: Points (2,1) and (4,-7) are endpoints of the diameter of a circle. What is the length of the diameter, center of the circle and equation of the circle? Thanks and please show wo      Log On


   

Question 609961: Points (2,1) and (4,-7) are endpoints of the diameter of a circle.
What is the length of the diameter, center of the circle and equation of the circle? Thanks and please show work.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi, 

Points (2,1) and (4,-7) are endpoints of the diameter of a circle.

D = sqrt%288%5E2+%2B+2%5E2%29+=+sqrt%2868%29+=+2sqrt%2817%29 r = sqrt%2817%29

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

 Midpoint Pt (3,-3)is the Center of this circle

 %28x-3%29%5E2+%2B+%28y%2B3%29%5E2+=+17