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# Areas of two circles are equal. Is it necessary that their circumferences are equal? Why

**Solution:**

It is given that

A_{1} = A_{2}

It means that

πr_{1}² = πr_{2}²

r_{1}² = r_{2}²

By taking __square root__

r_{1} = r_{2} = r

Now let us consider

C_{1}/C_{2} = 2πr_{1}/2πr_{2} = r_{1}/r_{2} = 1/1

Therefore, the statement is true.

**✦ Try This: **If the radii of two circles re 7cm and 24cm, then the radius of the circle having area equal to the sum of the areas of the two circles, is

**☛ Also Check: **NCERT Solutions for Class 10 Maths Chapter 12

**NCERT Exemplar Class 10 Maths Exercise 11.2 Problem 13**

## Areas of two circles are equal. Is it necessary that their circumferences are equal? Why

**Summary:**

The statement “Areas of two circles are equal. Is it necessary that their circumferences are equal” is true

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