Answer:
When radius of star increase by 6 factor then area of star will increase by a factor of 36.
Explanation:
As we know that
Area of star A given as
[tex]A=4\pi R^2[/tex]
Where R is the radius of star.
Area of star when radius become 6 times
[tex]A'=4\pi (6R)^2[/tex]
[tex]A'=4\pi \times 36\times R^2[/tex]
So
[tex]A'=36A[/tex]
We can say that when radius of star increase by 6 factor then area of star will increase by a factor of 36.