Question

In figure (A) arc AXB ≅ arc CXD. If AB = 6 cm, then find the length of  chord CD.​

Answer 1

Given:

AXB ≅ CXD arc of the circle.

AB = 6cm

To Find:

The length of chord CD.

Solution:

Draw to let meet AB and CD.

AXB and CYD are congruent arcs of the circle.

AB = CD [irrespective chords will be equal]

So, AB : CD

1 : 1

So, length of chord CD = 6cm

Answer 2

Answer:

The length of the chord CD is 6cm.

Step-by-step explanation:

As we know by the theorem if the two chords are equal in their length then their respective arcs will also be equal.

The converse of this theorem that is if the two arcs are given equal in length then their respective chords will also be completely equal in length.

Hence here we have been mentioned that arc AXB ≅ arc CXD

It is mentioned that the length of the chord of the arc AXB which is AB is 6cm then the value of the chord of the arc CXD which is CD will also be equal to 6cm.

Hence the value of chord CD is 6cm.