The radius of the circle is 10 cm and the perpendicular distance from the chord to the centre is 6 cm. The length of the chord is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 16 cm.
The radius of the circle (OA) = 10 cm
The perpendicular distance from the chord to the centre (OP) = 6 cm
Here, AB = AP + BP where AP = BP
In Δ AOP, ∠APO = 90°
So, (OA)2 = (OP)2 + (AP)2
⇒ 102 = 62 + (AP)2
⇒ (AP)2 = 100 - 36 = 64
⇒ AP = √64 = 8 cm
Now, AB = 8 + 8 = 16 cm
Therefore, the length of the chord is 16 cm.