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].