Chords AB and CD intersect inside a circle at point O.
If AO = 8 cm, OB = 12 cm, and CO = 6 cm, find OD.(O is the origin)
Show answer & explanation
Correct answer: A
Explanation
According to the intersecting chords theorem of a circle -
AO × OB = CO × OD
8 × 12 = 6 × OD
96 = 6 × OD
OD = 96 ÷ 6
OD = 16 cm