Question

Length of chord PQ is 12cm. Radius of a circle is 10cm. Find the distance
of chord PQ from the centre.​

Answer 1

Answer:

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Answer 2

$\huge\mathfrak\green {Answer-}$

Let AB=12 cm be the chord of the circle with radius AO=10 cm

Draw OP⊥AB Join OA

AP=

2

1

AB=

2

1

×12=6cm

In △APO,∠P=90

∘

∴AO

2

=AP

2

+OP

2

⇒10

2

=6

2

+OP

2

⇒OP

2

=100−36

⇒OP

2

=64

⇒OP=8cm

Hence the distance of the chord from the circle is 8 cm.