Question

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.

Answer 1

Area of Rectangle = 12 m
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a- πr^2
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d- 3 m
r- 1.5 m
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a-πr^2
a-1.5^2 π
a- 3πm^2 <-- exact answer
a- 3(3.14)
a- .42 <-- approximate answer

Answer 2

`15.5\ m^(2)`

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

`A=bh`

we have

`b=6\ m`

`h=2\ m`

substitute

`A=6*2=12\ m^(2)`

Step 2

Find the area of semicircle

The area of semicircle is equal to

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

we have

`r=3/2=1.5\ m`

substitute

`A=(1)/(2)(3.14)(1.5^(2))=3.5\ m^(2)`

Step 3

Find the area of the figure

`12\ m^(2)+3.5\ m^(2)=15.5\ m^(2)`