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

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

$A=4\pi R^2$

Where R is the radius of star.

Area of star when radius become 6 times

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

$A'=4\pi \times 36\times R^2$

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.