Answer:
The remaining area of the paperboard is 363 square inches.
Step-by-step explanation:
The length of the rectangular board = 26 inches
The width of the rectangular board = 20 inches.
Now, the area of the board =
square inches
Now, a semicircle has been cut out of it.
Let is assume that the diameter of the semicircle be 20 inches.
So, radius will be = 10 inches
Area of semicircle is = ![\frac{1}{2} \pi r{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Cpi%20r%7B2%7D)
So, we get : Area = ![\frac{1}{2}\times3.14\times10\times10](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Ctimes3.14%5Ctimes10%5Ctimes10)
= 157 square inches.
Now after cutting the semi circle, the area remained =
square inches.
Therefore, the remaining area of the paperboard is 363 square inches.