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# Is it true to say that area of a square inscribed in a circle of diameter p cm is p² cm²? Why

**Solution:**

We know that

If a __square__ is inscribed in a circle the diameter of circle is equal to the __diagonal of the square__

Consider a as the side of the square

So the perimeter p² = a² + a²

p² = 2a²

a² = p²/2

So the __area of square__ is a² = p²/2

Therefore, the statement is false.

**✦ Try This: **Is the area of the circle inscribed in a square of side a cm, a² cm²? Give reasons for your answer.

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

**NCERT Exemplar Class 10 Maths Exercise 11.2 Problem 14**

## Is it true to say that area of a square inscribed in a circle of diameter p cm is p² cm²? Why

**Summary:**

The area of a square is defined as the number of square units needed to fill a square. The statement “area of a square inscribed in a circle of diameter p cm is p² cm²” is false

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