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
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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
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