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UkoKoshka [18]
3 years ago
8

Why is circle 1 similar to circle 2?

Mathematics
2 answers:
DanielleElmas [232]3 years ago
6 0

Answer:  The answer is given below.

Step-by-step explanation: The given circles are:

Circle 1: centre (2, 3) and radius 4  

Circle 2: centre (2, 3) and radius 12.

The equations of circle 1 and circle 2 are respectively given as :

(x-2)^2+(y-3)^2=4^2,\\\\(x-2)^2+(y-3)^2=12^2.

These two circles are drawn on the graph as shown in the attached figure.

We can easily see that the Circle 2 is a dilation of Circle 1 with a scale factor

S=\dfrac{12}{4}=3.

Thus, the two circles are similar.

raketka [301]3 years ago
5 0
The correct answer is

Circle 2 is a dilation of circle 1 with a scale factor of 3.
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