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This figure consists of a rectangle and a quarter circle. What is the perimeter of this figure? Use 3.14 for π . Enter your answer as a decimal in the box. please help giving away lots of points

This figure consists of a rectangle and a quarter circle What is the perimeter of this figure Use 314 for π Enter your answer as a decimal in the box please hel class=

Respuesta :

calculista

Answer:

[tex]61.27\ cm[/tex]

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

Find the perimeter of the rectangle

The perimeter of rectangle is equal to

[tex]P=2(L+W)[/tex]

we have

[tex]L=20\ cm[/tex]

[tex]W=2\ cm[/tex]

substitute

[tex]P=2(20+2)=44\ cm[/tex]

Find the circumference of a quarter circle

[tex]C=\frac{1}{4}2\pi r[/tex]

we have

[tex]r=11\ cm[/tex]

substitute

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

Find the perimeter of the figure

[tex]44\ cm+17.27\ cm=61.27\ cm[/tex]

tatendagota

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     = [tex]\frac{1}{4} (\pi * 22)[/tex]

                                                                    = 17.28 cm

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

                           = 59.28 cm

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