If arcs AXB and CYD of a circle are congruent, find the ratio of AB and CD.

Solution:

Given, AXB and CYD are arc of a circle which are congruent

We have to find the ratio of AB and CD

Join AB and CD

We know that if two arcs of a circle are congruent, then their corresponding chords are equal.

Since arcs AXB and CYD are congruent

So, AB = CD

Now, AB : CD = AB : AB

= 1 : 1

Therefore, the ratio of AB and CD is 1:1

✦ Try This: Find the values of x and y in the figures given below.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 10

NCERT Exemplar Class 9 Maths Exercise 10.3 Problem 1

If arcs AXB and CYD of a circle are congruent, find the ratio of AB and CD

Summary:

An arc of a circle is referred to as a curve, that is a part or portion of its circumference. If arcs AXB and CYD of a circle are congruent, the ratio of AB and CD is 1: 1

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