Part 2: Compare the areas and circumferences in the last problem.
What happens to the circumference and area of a circle when you double the radius?
Consider five circles with radii of 1, 2, 4, 8, and 16 inches. Complete the chart. (Answers will be in terms of Pi). One has been completed for you.
|Radius|Circumference|Area|
|1|2pi in.|pi in.^2|
|2|
|4|
|8|
|16|
Help I have no idea what I'm supposed to do
3 answers
c = 2πr
a = πr^2
so, plug in various values for r:
r c a
1 2π π
2 4π 4π
...
16 32π 256π
when 2r is substituted for r, you have new values for c and a:
2π(2r) and π(2r)^2
compare those to the original values using just r.
a = πr^2
so, plug in various values for r:
r c a
1 2π π
2 4π 4π
...
16 32π 256π
when 2r is substituted for r, you have new values for c and a:
2π(2r) and π(2r)^2
compare those to the original values using just r.
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