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# Is the area of the circle inscribed in a square of side a cm, πa² cm²? Give reasons for your answer

**Solution:**

Let us consider a circle inscribed in a__ square__

Here the __radius of the circle__ which is inscribed inside a square of sides a cm is r = a/2

We know that

__Area of circle__ = πr²

Where r is the radius

= π(a/2)²

= πa²/4 cm² ≠ πa² cm²

Therefore, the statement is false.

**✦ Try This:** Find the area of a circle that can be inscribed in a square of side 8 cm.

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

**NCERT Exemplar Class 10 Maths Exercise 11.2 Problem 1**

## Is the area of the circle inscribed in a square of side a cm, πa² cm²? Give reasons for your answer

**Summary:**

The area of a circle is the space occupied by the circle in a two-dimensional plane. The statement “Is the area of the circle inscribed in a square of side a cm, πa² cm²” is false

**☛ Related Questions:**

- Will it be true to say that the perimeter of a square circumscribing a circle of radius a cm is 8a c . . . .
- In Fig 11.3, a square is inscribed in a circle of diameter d and another square is circumscribing th . . . .
- Is it true to say that area of a segment of a circle is less than the area of its corresponding sect . . . .

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