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irina1246 [14]
2 years ago
15

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

Mathematics
1 answer:
kifflom [539]2 years ago
3 0

The area of a square is the square of its side. The area of the square is 2.2477 units².

<h3>What is the area of a square?</h3>

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.

Learn more about Area of square:

brainly.com/question/1658516

#SPJ1

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Step-by-step explanation:

CONCEPT:

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SOLVE:

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Multiply both sides by the LCM of fractions (Least Common Multiple)

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Since we are able to get exactly one solution, there is only one solution.

Hope this helps!! :)

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