Question

If the radius of a star increases by a factor of 6 the surface area of the star increases how many times?

Answer 1

When radius of star increase by 6 factor then area of star will increase by a factor of 36.

Step-by-step explanation:

As we know that

Area of star A given as

`A=4\pi R^2`

Where R is the radius of star.

Area of star when radius become 6 times

`A'=4\pi (6R)^2`

`A'=4\pi * 36* R^2`

So

`A'=36A`

We can say that when radius of star increase by 6 factor then area of star will increase by a factor of 36.