Question

Find the area of the figure(type in integer or decimal rounded to the nearest Tenth as needed)

Answer 1

We need to find the area of a semi-circle with a diameter d = 7.4''.

The area of a circle with radius r is

`\pi r^(2)`

Thus, the area A of a semi-circle with radius r is

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

Step 1

Find the radius of the semi-circle. The radius is half the diameter d. So, we have:

`r=(d)/(2)=(7.4^(\doubleprime))/(2)=3.7^(\doubleprime)=3.7\text{ in}`

Step 2

Use this result to find the area A of the semi-circle:

`A=(\pi)/(2)(3.7^{}in)^2=(\pi13.69)/(2)in^2=6.845\pi in^2\cong21.5in^2`

Answer

Therefore, the area of the figure, rounded to the nearest tenth, is 21.5 in².