In a circle of radius 5√13 cm, a chord is at a distance of 10 cm from the center of the circle. Find the length (in cm) of the chord.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 30.
In ΔAOC
AO2 = OC2 + AC2
⇒ (5√13)2 = 102 + AC2
⇒ 325 = 100 + AC2
⇒ AC2 = 225
⇒ AC = 15
Thus,
⇒ AB = AC + CB
⇒ AB = 15 + 15
⇒ AB = 30 cm