Question

A chord of a circle of radius 10 cm subtends a right angle at its centre .What is the length of chord

Answer 1

From right angle triangle BOC,

      BC2 = OB2 + OC2

=> BC2 = (10)2 + (10)2

=> BC2 = 100 + 100

=> BC2 = 200

=> BC = √200

=> BC = √(100*2)

=> BC = 10√2

So, the length of the chord is 10√2 cm 

hope it is helpful..