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An ant crawls around the perimeter of a circle whose radius is 2 feet through a central angle of 72 degrees. What distance, to the nearest inch, has the ant crawled?
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An ant crawls around the perimeter of a circle whose radius is 2 feet through a central angle of 72 degrees. What distance, to the nearest inch, has the ant crawled?
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Aug 27, 2019
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An ant crawls around the perimeter of a circle whose radius is 2 feet through a central angle of 72 degrees. What distance, to the nearest inch, has the ant crawled?
Mathematics
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Allan Grant
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Allan Grant
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we know that
[the circumference of a circle]=2*pi*r
r=2 ft
[the circumference of a circle]=2*pi*2------> 12.56 ft
if 360° (full circle) has a length of-----------> 12.56 ft
72°---------------------------------> X
x=72*12.56/360-------< x=2.512 ft
1 ft----------> 12 in
2.512 ft-----> x
x=2.512*12------> x=30.14 in-----> x=30 in
the answer is
30 in
Stuart Hallows
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Sep 1, 2019
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Stuart Hallows
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