A semicircle is attached to the side of a rectangle as shown.

What is the best approximation for the area of this figure?

Use 3.14 to approximate pi.

Select from the drop-down menu to correctly complete the statement.
The area is

A semicircle is attached to the side of a rectangle as shown What is the best approximation for the area of this figure Use 314 to approximate pi Select from th class=

Respuesta :

Answer:

[tex]58.8\ mm^{2}[/tex]

Step-by-step explanation:

we know that

The area of the figure is equal to the area of a rectangle plus the area of semicircle

Step 1

Find the area of the rectangle

The area of the rectangle is equal to

[tex]A=bh[/tex]

we have

[tex]b=9\ mm[/tex]

[tex]h=3\ mm[/tex]

substitute

[tex]A=9*3=27\ mm^{2}[/tex]

Step 2

Find the area of semicircle

The area of semicircle is equal to

[tex]A=\frac{1}{2}\pi r^{2}[/tex]

we have

[tex]r=9/2=4.5\ m[/tex]

substitute

[tex]A=\frac{1}{2}(3.14)(4.5^{2})=31.8\ mm^{2}[/tex]

Step 3

Find the area of the figure

[tex]27\ mm^{2}+31.8\ mm^{2}=58.8\ mm^{2}[/tex]



Hi There Answer: 58.8

Step-by-step explanation:

A semicircle is attached to the side of a rectangle as shown.

What is the best approximation for the area of this figure?

Use 3.14 to approximate pi.

Select from the drop-down menu to correctly complete the statement.

The area is 58.8