A circle has a radius of 3 and a central angle of 340 degrees, what is the arc length? Round to the nearest tenth place.

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Answer 1 · 2018-03-22T20:04:21

#17.8#

I am going to call the arc #AB# since it doesn't have a given name. The formula for finding the length of an arc is this:

#"length"AB = ((mAB)/360)(2pir)#

They gave two of the values:
#mAB = 340#
#r = 3#

Let's substitute those in and solve:

#"length"AB = ((340)/360)(2pi3)#

#"length"AB = (17/18)(6pi)#

#"length"AB = (17(6pi))/18#

#"length"AB = (102pi)/18#

#"length"AB = (102(3.14))/18#

#"length"AB = (320.28)/18#

#"length"AB = 17.79# rounded to the nearest tenth is #17.8#