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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.

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A semicircle is attached to the side of a rectangle as shown. What is the best approximation-example-1
User TMichel
by
7.4k points

2 Answers

3 votes
Area of Rectangle = 12 m
------------------------------------
a- πr^2
----------
d- 3 m
r- 1.5 m
----------
a-πr^2
a-1.5^2 π
a- 3πm^2 <-- exact answer
a- 3(3.14)
a- .42 <-- approximate answer
User Krisztina
by
8.5k points
0 votes

Answer:


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)


User Kristian Kraljic
by
8.0k points

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