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seraphim [82]
3 years ago
8

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

Mathematics
2 answers:
mojhsa [17]3 years ago
5 0

Answer:

Option C 122.1\ cm^{2}

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

A=bh

we have

b=18\ cm

h=6\ cm

substitute

A=18*6=108\ cm^{2}

Step 2

Find the area of semicircle

The area of semicircle is equal to

A=\frac{1}{2}\pi r^{2}

we have

r=6/2=3\ m

substitute

A=\frac{1}{2}(3.14)(3^{2})=14.1\ cm^{2}

Step 3

Find the area of the figure

108\ cm^{2}+14.1\ cm^{2}=122.1\ cm^{2}


m_a_m_a [10]3 years ago
3 0
Rectangle = 18 x 6 = 108
Circle:  3.14 x (3)^2 = 3.14 x 9 = 28.26
<span>semicircle: 28.26 / 2 = 14.13
</span>
108 + 14.13 = 122.13

answer
122.13 cm^2

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