Rectangular plate is 6m wide and 12m long two holes of 2diameter have been cut in place calculate the are of remaining plat?
It would be helpful if you would proofread your questions before posting them. What is the units for the diameter of the holes? m? dm? cm? mm?
To calculate the area of the remaining plate, we need to subtract the area of the two holes from the total area of the rectangular plate.
First, let's calculate the area of a single hole. The diameter of the hole is given as 2 meters, so we can find the radius by dividing the diameter by 2: radius = diameter / 2 = 2 / 2 = 1 meter.
The area of a circle is given by the formula A = π * r^2, where A is the area and r is the radius. So, the area of a single hole is A = π * (1^2) = π * 1 = π square meters.
Now, we have two holes, so we need to calculate the total area of the two holes. Since both holes are identical, we can simply multiply the area of one hole by 2: Total area of holes = 2 * π.
Next, let's calculate the total area of the rectangular plate. The width of the plate is given as 6 meters and the length is given as 12 meters. The area of a rectangle is given by the formula A = length * width. So, the total area of the plate is A = 6 * 12 = 72 square meters.
Finally, to find the area of the remaining plate, we subtract the total area of the holes from the total area of the plate: Area of remaining plate = Total area of plate - Total area of holes = 72 - (2 * π).
Therefore, the formula to calculate the area of the remaining plate is A = 72 - (2 * π).