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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.

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=

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calculista

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 rectangle plus the area of semicircle

step 1

Find the area of rectangle

The area of rectangle is equal to

[tex]A=bh[/tex]

where

[tex]b=9\ mm\\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\ mm[/tex] ---> the radius is half the diameter

[tex]\pi =3.14[/tex]

substitute

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

[tex]A=31.8\ mm^2[/tex]

step 3

Find the area of the figure

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

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