The area of a square is the square of its side. The area of the square is 2.2477 units².
What is the area of a square?
The area of a square is the square of its side. It is given by the formula,
Area of the square = a²
Given the circumference of the circle is 9.42 units. Therefore, the radius of the circle can be written as,
Circumference of the circle = 2πr
[tex]\rm9.42\ units= 2\pi r\\\\r = \dfrac{9.42}{2\pi}\ units[/tex]
Now, as the side of the square is equal to the radius of the circle, therefore, the area of the circle will be equal to,
Area of the circle = a² = r²
[tex]\rm \text{Area of the circle }= (\dfrac{9.42}{2\pi})^2[/tex]
[tex]\rm = \times \dfrac{9.42}{2\pi} \times \dfrac{9.42}{2\pi}\\\\ = 2.2477\ units^2[/tex]
Hence, the area of the square is 2.2477 units².
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