Answer:
≈ 18.8 cm
Explanation:
Since the circle is inscribed in the square, the diameter of the circle is equal to the side length of the square.
The area of the square is given as 36 cm^2, so we can find the side length of the square as:
side length = √(area) = √(36 cm^2) = 6 cm
The diameter of the circle is therefore also 6 cm, and the radius of the circle is half the diameter, or 3 cm.
The circumference of a circle is given by the formula:
circumference = 2πr
where r is the radius of the circle.
Substituting in our values, we get:
circumference = 2π(3 cm) = 6π cm
Using a calculator to approximate π to one decimal place, we get:
circumference ≈ 18.8 cm
Therefore, the circumference of the circle inside the square is approximately 18.8 cm.