The diameter of a circle in a square can be found by dividing the length of one side of the square by √2. This can also be expressed as d = s/√2, where d is the diameter and s is the length of one side of the square.
The area of a circle in a square can be found by first finding the diameter using the formula d = s/√2. Then, the area can be calculated using the formula A = π(d/2)^2, where A is the area and d is the diameter.
Yes, a circle can be inscribed in a square with a different shape. The only requirement is that the circle's diameter is equal to the length of one side of the square. This means that the square does not have to be a perfect square, as long as the diameter of the circle is equal to the length of one side.
The diameter of a circle in a square is equal to the length of the square's diagonal multiplied by √2. This can be expressed as d = √2 * diagonal, where d is the diameter and diagonal is the length of the square's diagonal.
If the length of the square's side is doubled, the diameter of the circle in the square will also double. This is because the diameter is directly proportional to the length of the square's side. So, if the length of the square's side is multiplied by 2, the diameter will also be multiplied by 2.