SOLUTION: Teddy watched a spider crawl through an arc of 54 degree on a disk radius 10 in. How far did the spider crawl? Thanks!

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Question 1153220: Teddy watched a spider crawl through an arc of 54 degree on a disk radius 10 in. How far did the spider crawl?
Thanks!
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The length of an arc, s, is given by:

s+=+r%2Atheta

where:
s = arc length
r = radius
theta = angle in radians

The radius of the disc is r+=+10in and the angle the spider crawled through is 54°. We need to convert the angle from degrees to radians.
There are pi radians in 180°, so we can set up a proportion to determine the angle theta in radians:

54%2F180=++theta+%2Fpi
54pi%2F180=++theta+
theta=0.9425+radians

s+=+10in%2A%280.9425+%29+=+9.43in+
the spider crawled about 9.43in+


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Teddy watched a spider crawl through an arc of 54 degree on a disk radius 10 in. How far did the spider crawl?
Thanks!