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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.

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 class=

Respuesta :

Area if rectangle = 18*6 = 108
Area of semi circle = pi*r^2/2
Pi * 3^2 / 2
Pi * 4.5
= 14.13716694

Then add both areas for the area of the entire shape:
14.13716694+108 = 122.1371669 cm^2
calculista

Answer:

[tex]122.1\ cm^{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=18\ cm[/tex]

[tex]h=6\ cm[/tex]

substitute

[tex]A=18*6=108\ cm^{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=6/2=3\ m[/tex]

substitute

[tex]A=\frac{1}{2}(3.14)(3^{2})=14.1\ cm^{2}[/tex]

Step 3

Find the area of the figure

[tex]108\ cm^{2}+14.1\ cm^{2}=122.1\ cm^{2}[/tex]


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