SOLUTION: Points (1, 5) and (-7, 9) are endpoints of the diameter of a circle. What is the length of the diameter? What is the center ofthe circle? What is the equation of the circle?

Algebra ->  Circles -> SOLUTION: Points (1, 5) and (-7, 9) are endpoints of the diameter of a circle. What is the length of the diameter? What is the center ofthe circle? What is the equation of the circle?      Log On


   

Question 666051: Points (1, 5) and (-7, 9) are endpoints of the diameter of a circle.
What is the length of the diameter?
What is the center ofthe circle?
What is the equation of the circle?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Points (1, 5) and (-7, 9) are endpoints of the diameter of a circle. 

(1, 5) and 

(-7, 9) d = sqrt%288%5E2+%2B+%28-4%29%5E2%29+=+sqrt%2880%29+=+sqrt%2816%2A5%29+=+4sqrt%285%29 

r = 2sqrt%285%29, r^2 = 20

 Midpoint = (-3,7), center of the circle

equation of the circle: %28x%2B3%29%5E2+%2B+%28y-7%29%5E2+=+20