Middle School

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------------------------------------------------ What is the circumference of the following figure? Be sure to convert your answer to yards. 56.52 yd 1.57 yd 4.71 yd 28.26 yd

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Answer :

Answer:

1.57 yd is the right one just did this one

Step-by-step explanation:

Answer:

[tex]1.57\textrm{ yd}[/tex]

Step-by-step explanation:

Given:

Diameter of the circle, [tex]D=18\textrm{ in}[/tex].

We need to convert the diameter in yards.

We know that, [tex]36\textrm{ in} = 1\textrm{ yd}[/tex]

So, [tex]1\textrm{ in} =\frac{1}{36}\textrm{ yd}[/tex]

Now, [tex]18\textrm{ in} =\frac{1}{36}\times 18=0.5\textrm{ yd}[/tex]

Circumference of a circle of diameter, [tex]D[/tex], is given as:

[tex]\textrm{Circumference}=\pi D[/tex]

Plug in 0.5 for [tex]D[/tex] and calculate the circumference. This gives,

[tex]\textrm{Circumference}=\pi \times 0.5=3.14\times 0.5=1.57\textrm{ yd}[/tex]

Therefore, the circumference of the given figure is [tex]1.57\textrm{ yd}[/tex].