Question

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

Answer 1

Answer:  The area of the circle can be expression as:

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           →   "  200.96 cm²  " ;

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

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            →   " 64 $\pi$ cm²  . "

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Step-by-step explanation:

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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 .

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The area, "A" ; of the circle:

          →   " A =   $\pi * r^{2}$  

                     =   $\pi[/tex * (8 cm)² " ; = [tex]\pi$ * 8 cm * 8 cm ;

                     =  $\pi$ * 8 * 8 *cm * cm ;

                     =   $\pi$ * 64 * cm²  ;

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

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To write in numerical terms:

Substitute:  " 3.14 " for:  " $\pi$ " ;

And solve:

" 64 $\pi$  =  64 * 3.14  =  200.96 cm²  "  ;

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

    " 200.96 cm²  " .

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Hope this is helpful to you!

         Wishing you the best!

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