carolyngrace1983 carolyngrace1983
  • 22-09-2019
  • Physics
contestada

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

Respuesta :

Netta00 Netta00
  • 24-09-2019

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.

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