The distance FM is half of the length of the chord. (The perpendicular from the centre of a circle to a chord bisects the chord.) In the diagram below, AB is the chord of a circle with centre O. OM is ...
AO and OC are both radii of the circle. Length AO = Length OC Draw the line OB. It creates two triangles OCB and OAB. These share the length OB. The hypotenuse OB is common to both triangles. Sides OC ...