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

The area of the logo is
`18.84\ ft^(2)`

Explanation:

see the attached figure to better understand the problem

we know that

The area of a semicircle is equal to

`A=(1)/(2)\pi r^(2)`

so

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

`A=(3)/(2)\pi r^(2)`

we have

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

substitute

`A=(3)/(2)(3.14)(2)^(2)=18.84\ ft^(2)`