Respuesta :

Answer:

New area of the circle is 314 [tex]mm^{2}[/tex].

Step-by-step explanation:

Area of a circle is [tex]\pi r^{2}[/tex].

Let the radius of the original circle be x.

[tex]\pi x^{2}[/tex]=12.56 [tex]mm^{2}[/tex]

Now, the radius is changed to 5x.

New area =[tex]\pi (5x)^{2}[/tex]= 25 x [tex]\pi x^{2}[/tex].

New area= 12.56 x 25= 314 [tex]mm^{2}[/tex]

New area of the circle is 314 [tex]mm^{2}[/tex].

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