Rex has a square sheet of plywood that measures 36 inches on one side. What is the radius of the largest circular disk that he can cut from this sheet?
Answer (3)
If the square's side measures 36 inches, then we can fit a circle with a 36 inches diameter in it.
We know that the diameter is as much as two radiuses, so r (radius) is 36 รท 2 = 18.
The radius of the largest circular disk Rex can cut from a square sheet measuring 36 inches on one side is 18 inches.
The largest circle that can fit within a square touches the square at the midpoint of each side, meaning its diameter equals the side length of the square. Therefore, the radius of the circle, which is half of its diameter, will be half the length of the side of the square.
To find the radius of the largest circular disk, divide the side length of the square by 2:
Side length of square = 36 inches
Radius of circular disk = Side length / 2 = 36 / 2 = 18 inches
Thus, the radius of the largest circular disk Rex can cut from this sheet is 18 inches.
The radius of the largest circular disk that can be cut from a square sheet of plywood measuring 36 inches on each side is 18 inches, as this is half the length of the square's side. This is calculated by dividing the diameter (equal to the side length) by 2. Therefore, the maximum radius is 18 inches.
;
