Question

the length of a radius of a circle with its O is 5cm and the length of its chord AB is 8cm.find the distance of the chord AB from the centre O​

Answer 1

Answer:

3 cm

Step-by-step explanation:

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