# Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 8a cm? Give reasons for your answer

**Solution:**

Let us consider a circle inscribed inside a __square__

We know that

Side of square = __Diameter of circle__

AB = 2a

The __perimeter of square__ = 4 × AB

= 4 × 2a

= 8a cm

Therefore, the statement is true.

**✦ Try This:** What is the perimeter of a square with side 6cm?

We know that

Perimeter of a square = 4 × side

It is given that

Side = 6 cm

So we get

Perimeter of a square = 4 × 6 = 24 cm

Therefore, the perimeter is 24 cm.

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

**NCERT Exemplar Class 10 Maths Exercise 11.2 Problem 2**

## Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 8a cm? Give reasons for your answer

**Summary:**

The statement “Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 8a cm” is true

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