2what is the area of a circle to the nearest square inch when the circumference is 75.1 use 3.14

The correct answer is  "452 in² " .
 
(assuming that the given value for the circumference is in "inches".

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Explanation:
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Area, "A" of a circle:

A =  * r² ;

  in which "r = the radius" . 

We are given the Circumference, "C" of the circle:
     C = 75.1 = 2 * * r ;

Using "3.14" for  ;

Let us find the value for "r" (the radius"; so we can plug that value into the formula to find the area of the circle. 

C = 2 * * r ; 

→  75.1 = 2 * 3.14 * r ; 

Solve for "r" ;

→ 2 * 3.14 * r = 75.1  ;

Divide each side of the equation by: "(3.14 * 2)" ; to isolate "r" on one side of the equation; & to solve for "r" ; 

→ [2 * 3.14 * r] / [2 * 3.14]  = 75.1 / [2 * 3.14]  ;
 
               → r = 75.1 / [2 * 3.14] ; 
      
                      = 75.1 / (6.28) ;
          
                      = 11.9585987261146497 ; round to "12" ;

              →  r = 12 ;
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To solve for the area of the circle:

Area, "A" = * r² ;

We are told to use:  "3.14" for ;  and we can substitute our calculate value of "12" for "r" ;

→  A = (3.14) * 12² ;
 
         = (3.14) * 144 ;

         = 452.16 ; round to the nearest square inch;  assuming that the given values are in inches; we round to:  

         →  "452 in² " .
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