Question

In the figure arc AMB =~ arc CND if AB =8cm then find CD. Give your reason​

Answer 1

Answer:

AMB =~ CND

.'.AB = CD

CD = 8cm

Answer 2

The length of CD is 8 cm.

Step-by-step explanation:

It is given that,

The two arcs - arc AMB ≅ arc CND

The length of the chord AB = 8 cm

Let "CD" be the chord of another circle with arc CND.

Now,

Based on the theorem about chords about the circle we know that in the same circle or in two congruent circles, the arcs are congruent if and only if their corresponding chords are congruent.

So, we can say that

AB ≅ CD

Since AB = 8 cm

∴ The length of chord CD will also be = 8 cm

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