Question

2.Radius of a circle 5 cm. The length of chord of the circle is 8 cm.
Find distance of chord from the centre of the circle.​

Answer 1

Radius of circle (r) = 5 cm

AB = 8 cm

OM AB

AM = MB = 4 cm [ drawn from the centre of the circle bisects the chord]

In right OMA, by Pythagoras theorem

OA2 = OM2 + AM2

52 = OM2 + (4)2

25 = OM2 + 16

OM2 = 9

OM = 3 cm