SOLUTION: If the radius of a circle is changed from 4dm to 8dm.. A. How is the circumference changed? B. How is the area changed? C. What is the ratio of the perimeter? D. What is the ra

Algebra ->  Circles -> SOLUTION: If the radius of a circle is changed from 4dm to 8dm.. A. How is the circumference changed? B. How is the area changed? C. What is the ratio of the perimeter? D. What is the ra      Log On


   

Question 1172018: If the radius of a circle is changed from 4dm to 8dm..
A. How is the circumference changed?
B. How is the area changed?
C. What is the ratio of the perimeter?
D. What is the ratio of the areas?
Found 2 solutions by josgarithmetic, Alan3354:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Original radius, 4
Changed radius, 8

%282pi%2A8%29%2F%282pi%2A4%29
2
Circumference is doubled.


%28pi%2A8%5E2%29%2F%28pi%2A4%5E2%29
8%5E2%2F%284%5E2%29
%282%5E6%29%2F%282%5E4%29
4
Area became four times as large.

You should be able to solve parts (C) and (D).

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
If the radius of a circle is changed from 4dm to 8dm..
A. How is the circumference changed?
It's a function of the radius ---> it's doubled.
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B. How is the area changed?
It's a function of the square of the radius.
What do you think?
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C. What is the ratio of the perimeter?
To what?
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D. What is the ratio of the areas?
Think about it.