Question

A dinner plate fits snugly in a square box with perimeter 48 inches. what is the circumference of the plate

Answer 1

Answer:  The circumference of the circle is:  "37. 7 in." ;  or,  write as:
                                                                           " 12 $\pi$ in. " .
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Explanation:
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A square has all 4 (four) sides of equal length.

If the perimeter of the square = 48 inches; 

the side length of each side of the square  =  "48 in. ÷ 4 = 12 in." ; 

   →  "12 in. = the diameter, "d",  of the circle within the square" .

The formula for the Circumference, "C" , of a circle, is:

    "C = $\pi$ * d " ;

         C = $\pi$ * d ; 

                      d = 12 in.

C = " 12 $\pi$  in. " ; 

or;  calculate the Circumference, "C", of the circle; using:  "3.14" as an approximation for $\pi$  ; 

C =  $\pi$ * d ; 

    =  (3.14) * (12 in.)  ;

    =  37.68 in. ; round to:  "37. 7 in."  .
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Answer:  The circumference of the circle is:  "37. 7 in." ;  or,  write as:
                                                                           " 12 $\pi$ in. " .
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