Answer: 941.33 square inches
Step-by-step explanation:
Given : The side length of square = 26 inches
Area of square = [tex](side )^2[/tex]
[tex]=(26)^2=676\text{ square inches}[/tex]
Also, it given that one side of the square is also the diameter of the semicircle.
i.e. diameter = 26 inches
Radius = half of diameter = 13 inches
Then , the area of the semicircle = [tex]\dfrac{\pi r^2}{2}[/tex]
[tex]=\dfrac{(3.14)(13)^2}{2}=265.33\text{ square inches}[/tex]
Now, the total area of the banner = Area of square +Area of semicircle
[tex]=676\text{ square inches}+265.33\text{ square inches}\\\\=941.33\text{ square inches}[/tex]
Hence, the total area of the banner= 941.33 square inches
