Question

In a circle of radius 5 cm, AB and CD are two parallel chords of lenghty 8 cm and 6 cm respectively. Calculate the distance between the chords, if they are on
i) The same size of the circle
ii) There opposite sides of the circle.​

Answer 1

Step-by-step explanation:

AB=8cm

⇒AE=4cm

CD=6m⇒CF=3cm

In△AED

AE=4cm,AO=5cm

OE=

(AO)

2

−(AE)

2

=

5

2

−4

2

=3cm

In△OFC

CF=3cm,CO=5cm

OF=

OC

2

−CF

2

=

5

2

−3

2

=4cm

∴ Distance between the chords=4cm−3cm=1cm

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Answer 2

Ans (I) 1cm

Ans (II) 7cm