A square sheet of metal 25metres side.How many circular disc of 3metres can be cut off from the metal sheet?
If the circles are arranged in a rectangular grid, only 8 circles will fit across and down.
So, what is 8*8 ?
To find out how many circular discs of 3 meters can be cut off from the square sheet of metal, we need to determine the maximum number of whole circles that can fit within the square without overlapping.
First, let's calculate the area of the circular disc:
The formula for the area of a circle is A = π * r^2, where r is the radius. In this case, the radius is half the diameter, so it is 3/2 meters.
A = π * (3/2)^2
= π * (9/4)
= 9π/4
Next, we need to find the area of the square sheet:
The formula for the area of a square is A = s^2, where s is the side length.
A = 25^2
= 625
Now, let's divide the area of the square sheet by the area of one circular disc to find out how many circles can be cut:
Number of circles = 625 / (9π/4)
To simplify the calculation, let's approximate π as 3.14:
Number of circles ≈ 625 / (9 * 3.14 / 4)
= 625 / (28.26 / 4)
= 625 / 7.07
≈ 88.43
Since we cannot have a fraction of a circle, we round down to the nearest whole number. Therefore, you can cut a maximum of 88 circular discs of 3 meters from the square sheet of metal.