Question

In the given fig., AB and CD are two equal chords equidistant from the centre O of a
circle. OP and OQ are perpendiculars on chords AB and CD respectively. If AP = 4 cm, find the length of CD.

Answer 1

Answer:

Chords equidistant from center are equal in length

∴AB=CD

∴AB=CD=6 cm

Now OP is ⊥ to AB

∴AP=PB=

2

AB

PB=

2

6

=3 cm.