Respuesta :

The answer is:  268.666 in² " .
______________________________________________________

Explanation:
_____________________________________________________
Formula for area of circle (shape of pizza):
______________________________________________________

A = [tex] \pi [/tex] * r²  ;

in which:  "A = area of the pizza (area of a circle)" ; for which we are to solve.

                "[tex] \pi [/tex]" = 3.14 (approximation we shall use) ; 

                r = radius = "d/2" ; d = diameter = 18.5 in (given) ; 

                r = d/2 = (18.5 in. / 2) = 9.25 in.
_______________________________________________
Plug our known values into the formula to solve for "A" (area):

A = [tex] \pi [/tex] * r² ;

   = (3.14) * (9.25 in)² ;

   = (3.14) * (9.25)² * (in²) ;

   = (3.14) * (85.5625) * (in²) ;

   =  268.66625 in² ;
_________________________________________
Round to:  " 268.666 in² " .
_________________________________________