Question

6. Two parallel chords of lengths 48 cm and 14 cm are drawn in a circle of radius 25 cm. Find the
a) opposite sides of the centre
b) the same side of the centre
​

Answer 1

Step-by-step explanation:

Given- AB=14 cm and CD=48 cm are the chords of a circle of radius 25 cm with centre at O.

OP⊥AB at M and OQ⊥CD at N.

To find out -

If the length of PQ=?

Solution-

We join OC and OA.

So, OC=OA=25 cm, since OC and OA are radii

ΔOAP and ΔOCQ are right ones, since OP⊥AB at P and OQ⊥CD at Q.

Now AP= 1/2 AB = 1/2 ×14 cm =7 cm and

CQ=1/2 CD= 1/2×48 cm =24 cm