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The figure is made up of two shapes, a semicircle and a square. What is the exact perimeter of the figure?
A) 4 π + 16 cm
B) 2 π + 6 cm
C) 4 π + 12 cm
D) 2 π + 12 cm
Please help

The figure is made up of two shapes a semicircle and a square What is the exact perimeter of the figure A 4 π 16 cm B 2 π 6 cm C 4 π 12 cm D 2 π 12 cm Please he class=

Respuesta :

3 sides X 4 cm = 12 cm.   So answer must be one of last two.

perimeter of circle = pi X diameter
this is a 1/2 circle, so 1/2 of diameter = radius.    
1/2 of 4 (diameter) = 2

so 2 pi + 12 is answer
calculista

Answer:

Option  [tex](2 \pi+12)\ cm[/tex]

Step-by-step explanation:

we know that

The perimeter of the figure is equal to sum the length of semicircle plus the length of three sides of a square

Find the length of semicircle

Remember that the circumference of semicircle is equal to

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

we have

[tex]D=4\ cm[/tex]

substitute

[tex]C=\frac{1}{2}\pi(4)=2 \pi\ cm[/tex]

The perimeter of the figure is equal to

[tex]P=2 \pi+3(4)=(2 \pi+12)\ cm[/tex]


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