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

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