Problem: Two perpendicular chords intersect in a circle. The segments of one chord are and ; the segments of the other are and . Then the diameter of the circle is:
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The center of the circle is the point of intersection of the perpendicular bisectors of the given chords. Draw the radius to the endpoint of one of the chords and use Pythagoras' Theorem.
