Question 1086382: find the radius of a circle with center at (4,1), if a chord of length 4 square root of 2 is bisected at (7,4) Answer by ikleyn(52848) (Show Source):
The triangle formed by the center of the circle, the midpoint of the chord and the endpoint of the chord is right-angled triangle.
One its leg is half length of the chord, i.e. = .
The other leg length is the distance between the two given points, i.e.
= = .
Therefore, the radius R = = = .
Answer. The radius of the circle R = units.
