SOLUTION: In circle C, QR is a diameter, and Q(1,8) and C(3.5, 2) are points on a coordinate plane. Find and state the coordinates of point R.

Algebra ->  Circles -> SOLUTION: In circle C, QR is a diameter, and Q(1,8) and C(3.5, 2) are points on a coordinate plane. Find and state the coordinates of point R.      Log On


   

Question 271014: In circle C, QR is a diameter, and Q(1,8) and C(3.5, 2) are points on a
coordinate plane.
Find and state the coordinates of point R.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


C must be the center of the circle, so since QR is a diameter, C must be the mid-point of QR.

Use the mid-point formulae to determine the coordinates of R.

and



Where are the coordinates of C, are the coordinates of Q, and are the coordinates of R. Substitute what you know and then solve:

and




John