Sara88
contestada

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

Respuesta :

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 [tex]x^{2}[/tex]

So area of enlarged circle is [tex]25x^{2}[/tex]

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 .