The diagram shows a circle inside a square. length is 16cmwork out the area of a circle

 The area of the circle can be expression as:

__________________________________________

           →   "  200.96 cm²  " ;

__________________________________________

   or, in terms of " " ; can be expressed as:

__________________________________________

            →   " 64 cm²  . "

__________________________________________

Step-by-step explanation:

__________________________________________

All squares have 4 (four) equal side lengths.

The sidelight of the square = the diameter, "d" ;  of the circle = 16 cm (given).

The radius, " r " ;  of the circle:   " r = d/2 " ;  

                                         r = d / 2 = 16 cm / 2 = 8 cm .

__________________________________________

The area, "A" ; of the circle:

          →   " A =    

                     =   * 8 cm * 8 cm ;

                     =   * 8 * 8 *cm * cm ;

                     =   * 64 * cm²  ;

__________________________________________

So, the area of the circle; in terms of " * 8 cm * 8 cm ;

                     =   * 8 * 8 *cm * cm ;

                     =   * 64 * cm²  ;

__________________________________________

So, the area of the circle; in terms of " " ; is: " 64 [tex]\pi" /> cm² " .

__________________________________________

To write in numerical terms:

Substitute:  " 3.14 " for:  " " ;

And solve:

" 64  =  64 * 3.14  =  200.96 cm²  "  ;

__________________________________________

So, we can also, write the area of the circle as:

    " 200.96 cm²  " .

__________________________________________

Hope this is helpful to you!

         Wishing you the best!

__________________________________________