Question

4. In a circle of radius 5 cm, AB and CD are two parallel chords of lengths
8 cm and 6 cm respectively. Calculate the distance between the chords
if they are
(i) on the same side of the centre,
(ii) on the opposite sides of the centre

Answer 1

Answer:

Step-by-step explanation:

AB=8cm

⇒AE=4cm

CD=6m⇒CF=3cm

In△AED

AE=4cm,AO=5cm

OE=  (AO)  2 −(AE) =  52 −4   =3cm

In△OFC

CF=3cm,CO=5cm

OF=  

OC  

2

−CF  

2

 

​  

=  

2 −3  2

 

​  

=4cm