Question

If the area of the square is
36 mm? what is the
circumference of the circle?

Answer 1

To find the circumference of the circle, we first find the side of the square by taking the square root of its area (6 mm), which is also the circle's diameter. The radius is then 3 mm, and the circumference is calculated as 2πr, resulting in 6π mm or approximately 18.85 mm.

Step-by-step explanation:

If the area of the square is 36 mm², to find the circumference of the circle that fits perfectly within the square, we first need to find the side of the square. Since the area of a square is found by squaring one of its sides (a²), the side of the square a, can be found using the square root of the area. Therefore, a = √36 mm² = 6 mm.

Now, since the circle fits perfectly within the square, the diameter of the circle is equal to the side of the square. This means the diameter is 6 mm, which makes the radius 3 mm (since the radius is half the diameter). The circumference of the circle can then be found using the formula C = 2πr. Plugging in the radius we have:

Circumference, C = 2 × π × 3 mm = 6π mm, which is approximately 18.85 mm when π is approximated to 3.14159.

Answer 2

[answer]: it is approximately 540 mm in circumference, or to be more exact, 540.244 mm.

if this isn't correct, then sorry, i'm an idiot.