Respuesta :
The area of the circle inscribed in the given square is 113.1 m².
What is a square?
A square is a quadrilateral with all the sides are equal and all the interior angles are right-angles.
What is a circle?
A circle is a two-dimensional geometrical figure that has a fixed point inside it, called center. From the center, the distance of the circumference is equal.
Given, the area of the square is 144 m².
Let, the side of the square is a .
Therefore, area of the square a².
Now, a² = 144 m²
⇒ a = 12 m.
The circle is inscribed in the square.
The diameter of the circle = side of the square.
Let, the circle has a radius of 'r' and a diameter of '2r'.
Therefore, 2r = 12 m
⇒ r = 6 m
Therefore, the area of the circle is
= πr²
= π × (6)² m²
= 113.1 m²
Learn more about a circle inscribed in a square here: https://brainly.com/question/3533098
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