Question

5. A banner is made of a square and a semicircle. The square has side lengths of 26 inches. One side of the square is also the diameter of the semicircle. What is the total area of the banner? Use 3.14 for pi

Answer 1

Answer: 941.33 square inches

Explanation:

Given : The side length of square = 26 inches

Area of square =
`(side )^2`

`=(26)^2=676\text{ square inches}`

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 =
`(\pi r^2)/(2)`

`=((3.14)(13)^2)/(2)=265.33\text{ square inches}`

Now, the total area of the banner = Area of square +Area of semicircle

`=676\text{ square inches}+265.33\text{ square inches}\\\\=941.33\text{ square inches}`

Hence, the total area of the banner= 941.33 square inches