If the circumference of a circle is 32 in, find the radius. Find the radius of the circle.
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OpenStudy (calculusxy):
Are there any answer choices?
jigglypuff314 (jigglypuff314):
Hello and welcome to Open Study! :)
Circumference of a Circle = 2 pi r
so when 32 = 2 pi r
and you are looking for r (radius)
then divide both sides by 2pi
so r = 32/2pi =
which can be simplified
OpenStudy (anonymous):
yes,
A. 16 in
B. 10.2 in
C. 2.54 in
D. 5.1 in
jigglypuff314 (jigglypuff314):
okay, so once you find the radius in terms of pi
= 16/pi
then plug it into your calculator :)
OpenStudy (anonymous):
i got 10.1911
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OpenStudy (anonymous):
5.09554
jigglypuff314 (jigglypuff314):
which can be rounded to match your question options :)
OpenStudy (anonymous):
so the answer is D
jigglypuff314 (jigglypuff314):
correct :D
OpenStudy (anonymous):
thank you (:
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jigglypuff314 (jigglypuff314):
you're welcome :)
OpenStudy (calculusxy):
First let's go over the way to find the circumference of a circle. We know that it is:
2*3.14*r.
32=2*3.14*r
Divide 32/3.14=10.19
Now divide 10.19/2=5.09
5.09 rounds to 5.1
Answer is D.