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The ratio of the circumferences of two circles is 4:1. What is the ratio of the areas of these two circles?
A) 2:1
B) 4:1
C) 8:1
D) 16:1
5 Answers
- Anonymous1 decade agoFavorite Answer
The ratio of the areas of the circles is the square of the ratio between the circumferences.
Therefore, the ratio of the areas is 4^2:1^2 = 16:1.
I hope this helps!
- TomVLv 71 decade ago
The correct answer is 16 to 1, D
Since the areas of the circles are proportional to the square of the circumferences, and the circumferences are in a ratio of 4 to 1, the square of the circumferences are in the ratio of 4² to 1² = 16 to 1.
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- 1 decade ago
Circumfrnce = 2 pie R.
Ratio = R'/R" = 4/1 (i.e 4:1)
Area = pie R^2
Ratio = R'^2/R"^2
= 4^2/1^2
= 16/1 = 16:1
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- 1 decade ago
16 to 1, just say ur radii are 4 and 1, if you square those itll be 16 and 1, just trust me
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- Anonymous1 decade ago
very easy. It's C.
Remember that area circles are 2x the circumference circle.