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Jobisdone [24]
4 years ago
14

This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for π . Enter your answ

er as a decimal in the box. please help giving away lots of points

Mathematics
2 answers:
Aliun [14]4 years ago
8 0

Answer:

61.27\ cm

Step-by-step explanation:

we know that

The perimeter of the figure is equal to the perimeter of the rectangle plus the circumference of a quarter circle

so

<u>Find the perimeter of the rectangle</u>

The perimeter of rectangle is equal to

P=2(L+W)

we have

L=20\ cm

W=2\ cm

substitute

P=2(20+2)=44\ cm

<u>Find the circumference of a quarter circle</u>

C=\frac{1}{4}2\pi r

we have

r=11\ cm

substitute

C=\frac{1}{4}*2*(3.14)*(11)=17.27\ cm

Find the perimeter of the figure

44\ cm+17.27\ cm=61.27\ cm

matrenka [14]4 years ago
4 0

Answer:

59.28 cm

Step-by-step explanation:

The perimeter of the shape is given by the formula:

Let the perimeter of the rectangle be P = 2 (20+ 2)

                                                                  = 84 cm

The perimeter of the quarter circle be     = \frac{1}{4} (\pi  * 22)

                                                                    = 17.28 cm

Total perimeter   = 20 + 2 + 9 + 11 + 17.28

                           = 59.28 cm

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