In a circle having a radius 10 cm, a chord is 6 cm away from the center. Find the length of the chord.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 16 cm.
Radius = OA = OC = OD = 10 cm
Distance of chord from center = OP = 6 cm
In ΔOAP, ∠APO = 90°
AP = √(OA2 - OP2) = √(102 - 62) = √(100 - 36) = √64 = 8 cm
Chord length = AB = 2 × 8 = 16 cm