Respuesta :

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.