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

Question

Mathematics

Johanna Perry

21 November, 06:59

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

+5

Answers (1)

Know the Answer?

Roderick Newman · Answer 1

9cm

Step-by-step 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

Y - CircleIn the adjoining figure, O is the centre of a circle, PQ and RS aretwo equal and parallel chords. If the radius of the circle is 5 cmand the distance between the chords is 8 cm, find the length of thechords.e section

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