Question

In a circle chords are equal 6 cm and radius is 5 cm find distance between two chords

Answer 1

Answer:

Let O be the center of the circle .

From O draw OM⊥AB and ON⊥CD

In △AOM

AM=

2

1

AB=

2

1

×8=4cm

OM

2

=AO

2

−AM

2

⇒OM=

(5)

2

−(4)

2

⇒OM=

25−16

⇒OM=

9

=3cm

In △CON

CN=

2

1

CD=

2

1

×6=3cm

ON

2

=CO

2

−CN

2

⇒ON=

(5)

2

−(3)

2

⇒ON=

25−9

⇒ON=

16

=4cm

∴MN=OM+ON=3+4=7cm