Problem EN III.4 RO (variant)
The figure below shows a circle with center O and radius 6 cm. A, B, C, D belong to the circle, such that lines AB and CD are perpendicular. Point M is the midpoint of chord AB and OM=3 cm.
1. Find OM.
2. Calculate
OM= ...
Construct point E, diametrically opposite to C. Then the angle EAC=EDC =...............
