SOLUTION: You have a circular garden with an area of 32 square feet. If you increase the radius by a scale factor of 5, what is the area of the new garden? I think it may be: 32=r^2(p

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Question 1110878: You have a circular garden with an area of 32 square feet. If you increase the radius by a scale factor of 5, what is the area of the new garden?

I think it may be:
32=r^2(pi)
so with scale factor of 5, it would be:
(5r)^2
so 25*32 or 800 square feet
Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
You have a circular garden with an area of 32 square feet. If you increase the radius by a scale factor of 5, what is the area of the new garden?

I think it may be:
32=r^2(pi)
so with scale factor of 5, it would be:
(5r)^2
so 25*32 or 800 square feet
====================
800 sf is correct.
Area is a function of the square of the radius.
5^2 = 25
25*32 = 800

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
You are correct. The answer is 800 square feet. The linear dimension increases by a scale factor of 5, so the area increases by a scale factor of 5^2 = 5*5 = 25. This idea works for any shape. It does not have to be a circle.