Question

The circle has a Circumference of a 9.42units. What is the area of the square? Use 3.14

Answer 1

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

$\rm9.42\ units= 2\pi r\\\\r = \dfrac{9.42}{2\pi}\ units$

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

$\rm \text{Area of the circle }= (\dfrac{9.42}{2\pi})^2$

                            $\rm = \times \dfrac{9.42}{2\pi} \times \dfrac{9.42}{2\pi}\\\\ = 2.2477\ units^2$

Hence, the area of the square is 2.2477 units².

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