Question

If the length of a chord of a circle at a distance of 8 cm from the centre of the circle is 12 cm, then the length of the largest chord of the circle is

Answer 1

Answer:

Step-by-step explanation:

In ∆OPA, ∠OPA = 90°  ∴ OA2 = OP2 + AP2 [Pythagoras theorem]  = 82 + 62 [From (i)]  = 64 + 36  ∴ OA2 = 100  ∴ OA = √100 [Taking square root on both sides]  = 10 cm