Question

Choose correct alternative answer and fill in the blank. 

Radius of a circle is 10 cm and distance of a chord from the centre is 6 cm. Hence, the length of the chord is ____. 

(A) 16 cm 

(B) 8 cm 

(C) 12 cm 

(D) 32 cm

Answer 1

(A) 16 cm

∴ OA² = AC² + OC²

 ∴ 10² = AC² + 6² 

∴ AC² = 64 

∴ AC = 8 cm 

∴ AB = 2(AC)

= 16 cm