Sara88
Answered

If a circle is enlarged so that it has a new area that is 25 times the original, what factor were the dimensions changed by?


5

25

625

1/5

Verified Answer :

AL2006

The original radius was made 5 times larger.

Answer:

The  dimensions were changed by 5.

Step-by-step explanation:

Let the area of original circle be \(x^{2}\)

So area of enlarged circle is \(25x^{2}\)

The ratio of area  for the original and enlarged circle is 1:25

The ratio of area is the sqauare of the scale factor.

So the scale factor is 1:5

The dimensions were changed by 5 .

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