An inchworm ran into a log while on his way to the raspberry patch. The diameter of the log is 32 cm. How far did the inchworm travel while on the log? Round your answer to the nearest centimeter.

Question

anonymous · Answer

attachment

perl · Answer

the inchworm traveled half a circle circumference. 
C = 2*Pi*radius
we want half of C

perl · Answer

the inchworm traveled half a circle's circumference. 
C = 2*Pi*radius 
And we we want half of C 
so 1/2 C = Pi * radius. 
and radius is half the diameter
so the distance is Pi * 16

anonymous · Answer

3.14*16=50.25

perl · Answer

if your teacher wants you to approximate Pi with 3.14 , then yes

anonymous · Answer

my choices are
A.$$2\sqrt{15}\pi cm$$
B.$$4\sqrt{15}\pi cm$$
C.$$30picm$$
D.$$900picm$$

anonymous · Answer

@perl

perl · Answer

im not sure why you have those answer choices, they dont match the question

mathmate · Answer

The closest one is 4sqrt(15).
Do not forget that it is an inch work, meaning that it is 2.54 cm long.
So the actual distance "while on the log" starts counting when it is completely on the log.  So the distance travelled is 16pi - 2.54 cm = 47.7 cm, while 4sqrt(15)pi is 48.67 cm, within 1 cm.

perl · Answer

typo there, *inchworm*

mathmate · Answer

Thank you @perl