Question

Y - Circle

In the adjoining figure, O is the centre of a circle, PQ and RS are
two equal and parallel chords. If the radius of the circle is 5 cm
and the distance between the chords is 8 cm, find the length of the
chords.
e section​

Answer 1

9cm

Explanation:

making perpendicular "A" from center "O"

we get,OA=4cm(half of 8cm)

Now,

In triangle POA,

h^2=p^2+b^2

5^2=4^2+b^2

25=16+b^2

9=b^2

b=3cm

PA=3cm

hence,length of chords=3+3=9cm