If you're only given two points, and you're told that they both lie on a circle,
then there are an infinite number of possible circles, and therefore an infinite
number of possible centers. In order to pin it down, you need three points.
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Take any circle and draw a straight line through it anywhere so that the line intersects the circle at two distinct points. The segment between the two points on the circle is the chord. A diameter, that is, a line segment through the center, could be a chord. But any shorter segment drawn through the circle and intersecting the circle at those two distinct points is a chord. It's just that simple. Need a link? You'll find one below.
# Find the center of the circle # Draw the line of the radius from the center to the circumference # Finish
If the circumference or diameter is given then you can find the radius or simply measure the distance from the centre of the circle to the circumference.
R (radius) X2. The radius is half the circle from the center of the circle. The diameter is just straight across.
-- Draw any two random chords of the circle. -- Construct the perpendicular bisector of each chord. -- The perpendicular bisectors intersect at the center of the circle. All of this can be done with a compass, an unmarked straight-edge, and a pencil.