Question

Find the length of a chord which is a distance of 4 cm from the centre of a circle of radius 6 cm

Answer 1

hi Vikash,

distance between center and the chord = height of traingle formed = 4cm
hypotenuse = radius = 6
so other side (base) of the right triangle formed
= √(36 - 16)
= √20
= √(4*5)
= 2√5 cm

now the perpendicular from centre to the chord divides the chord in two equal parts so
Length of chord = 2(other side of triangle)
= 2(2√5)
= 4√5 cm

Hence the length of chord is 4√5 cm

Hope it helped.
Let me know if any doubts.
Cheers !!!

Answer 2

It may be helpful for you.