A chord is drawn in a circle radius of 10 cm. If the distance of the chord from the center is 6 cm, then the length of the chord (in em) is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 16.
AC = AB/2
Using Pythagoras Theorem, OA2 = OC2 + AC2
⇒ 102 = 62 + AC2
⇒ 100 - 36 = AC2
⇒ AC2 = 64
⇒ AC = 8 cm
AB = AC × 2 = 16 cm
Hence, the length of the chord from the centre is 16 cm.