Mathematics
In the given figure, the diameter CD of a circle with centre O is perpendicular to the chord AB.

If AB = 8 cm and CM = 2 cm, find the radius of the circle.
Related Questions
In △ ABC, D is a point on side AB and E is a point on AC. If DE is parallel to BC, and BE and CD intersect each other at point O; prove that :
(i) area (△ ACD) = area (△ ABE)
(ii) area (△ OBD) = area (△ OCE)
A chord of length 16 cm is drawn in a circle of diameter 20 cm. Calculate its distance from the centre of the circle.
Two chords AB and CD of lengths 24 cm and 10 cm respectively of a circle are parallel. If the chords lie on the same side of the centre and distance between them is 7 cm, find the length of a diameter of the circle.
Two chords AB and AC of a circle are equal. Prove that the centre of the circle lies on the bisector of angle BAC.