Question

The logo for Chris's Calculator Company is 3 semicircles. The logo will be placed on the company building and will be 4 feet tall. What is the area of the logo?
18.84 ft2
37.68 ft2
50.24 ft2
75.36 ft2

Answer 1

Answer:

The area of the logo is $18.84\ ft^{2}$

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of a semicircle is equal to

$A=\frac{1}{2}\pi r^{2}$

so

The area of the logo is equal to multiply by 3 the area of one semicircle

$A=\frac{3}{2}\pi r^{2}$

we have

$r=4/2=2\ ft$ -----> the radius is half the diameter

substitute

$A=\frac{3}{2}(3.14)(2)^{2}=18.84\ ft^{2}$