Question

in the fig, diameter AB and a chord AC have a common end point A. If the length of AB is 20cm and of AC is 12cm, how far is AC from the center of the circle.

Answer 1

AC is 8cm away from the center of the circle

Answer 2

Hey Dear 

AD = 30 cm 

Radius OA = AD/2 = 15 cm 

Now, AB is a chord of a circle , such that AB = 24 cm 

Draw OL ⊥ AB 

We know that perpendicular drawn from the centre to the chord bisects the chord , 

So, AL = LB = 12 cm 

In ΔOLA , 

AO² = AL² + OL²

15² = 12² + OL²

OL² = 225 - 144 

OL² = 81 

OL = 9 cm