Mathematics: What is the length of the side of a square that has area smaller than the area of a circle with radius r cm. The length of the side of the square is less than cm

5x4=20The model plane is 4cm...

What is the length of the side of a square that has

wendelljo61

20.01.2022

Therefore the length of side of a square is less than $\sqrt{\pi} r$ cm.

Step-by-step explanation:

Square:

The area of a square = side²The perimeter of a square = 4× side

Circle:

The area of a circle is π r²The perimeter of a circle 2πr.

Consider the length of side of the square be l.

The area of the square is = l² square units

The area the circle is = π r²

Given that the area of the square is smaller than the area of circle.

l²< π r²

Square root on both sides of inequality

$\sqrt{l^2}$

$\Rightarrow l$

Therefore the length of side of a square is less than $\sqrt{\pi} r$ cm.

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