From tech troubles to travel tips, IDNLearn.com has answers to all your questions. Discover trustworthy solutions to your questions quickly and accurately with help from our dedicated community of experts.
Sagot :
Given:
A banner is made of a square and a semicircle.
Side lengths of the square = 22 inches
Diameter of semicircle is equal to the side length of square.
To find:
The total area of the banner.
Solution:
We know that, the area of a square is
[tex]Area=a^2[/tex]
Where, a is the side length of the square.
Putting a=22, we get
[tex]A_1=(22)^2[/tex]
[tex]A_1=484[/tex]
So, the area of the square is 484 sq. inches.
Diameter of semicircle = Side length of square = 22 inches
Radius of semicircle = 11 inches.
The area of a semicircle is:
[tex]Area=\dfrac{1}{2}\pi r^2[/tex]
Where, r is the radius of the semicircle.
Putting r=11 and [tex]\pi=3.14[/tex], we get
[tex]A_2=\dfrac{1}{2}(3.14)(11)^2[/tex]
[tex]A_2=1.57(121)[/tex]
[tex]A_2=189.97[/tex]
So, the area of the semicircle is 189.97 sq. inches.
Now, the total area of the banner is
[tex]A=A_1+A_2[/tex]
[tex]A=484+189.97[/tex]
[tex]A=673.97[/tex]
Therefore, the total area of the banner is 673.97 sq. inches.
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.