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How will the area of the circle change if it is dilated by a scale factor of 1/2? The area will be 2 times greater than the original. The area will be 4 times greater than the original. The area will be 1/4 the original. The area will be 1/2 the original.

User Alfietap
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2 Answers

4 votes
The area will be 1/4 the original.

Is the CORRECT answer^^^^^


User Jahmeek
by
7.7k points
6 votes
we know that

[scale factor]=1/2
[dilated area of circle]=[original area of circle]*[scale factor]²
so
[dilated area of circle]=[original area of circle]*[1/2]²
[dilated area of circle]=[original area of circle]*[1/4]

therefore

the answer is
The area will be 1/4 the original
User Pleup
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8.6k points

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