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The circumference
Circumference
Draw a line from any part on the outside of a circle to the exact center of the circle. * * * * * That is fine if you know where the center is but not much use if you are just given a circle and do not know where the exact centre is. In this case: Draw a chord - a straight line joining any two points on the circumference of the circle. Then draw the perpendicular bisector of the chord. Draw another chord and its perpendicular bisector. The two perpendicular bisectors will meet at the centre.
Given only a chord of the circle, you do not have enough information to draw it. You do however have enough information to limit the location of the circle to a single line. You can find a line that the centre of the circle lies on by taking the average of the two points that are given, and the negative reciprocal of the slope to the line that they lie on. With that inverted slope and with the the middle point between the two given ones, you can now define another line that passes through the centre of the circle. This does not however give you a single circle, as the centre point could be anywhere on the line. If you are given a second chord, you could find the centre of the circle by finding two lines on which it lies and getting their point of intersection. Similarly if you are given any measurement that is related to its radius (e.g. area, circumference) you could work it out with that as well.
radius Additional answer Actually, the radius is the line that joins the centre to the circumference. The line that compasses draw to trace a circle is just that, a circle.