A piece of plexiglass is in the shape of a semicircle with radius 2m. Determine the dimensions of the rectangle with the greatest area that can be cut from the piece of plexiglass
nevermind i figured it out!
To find the dimensions of the rectangle with the greatest area that can be cut from the piece of plexiglass, we need to consider the properties of a semicircle.
First, let's draw a diagram to visualize the situation. Draw a semicircle with a radius of 2m. The diameter of the semicircle will be 4m, which will be the length of the rectangle. The height of the rectangle will be equal to the radius of the semicircle, which is 2m.
So, we have a rectangle with length 4m and height 2m. The area of a rectangle is given by the formula:
Area = length × height
Substituting the given values:
Area = 4m × 2m
Area = 8m²
Therefore, the rectangle with the greatest area that can be cut from the piece of plexiglass has dimensions of 4m by 2m, with an area of 8m².