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An arc in a circle with a radius of 4 inches is subtended by a central angle that measures 110°.


Explain how to find the arc length exactly, and then approximate the length to one decimal place.

Verified Answer :

wolf1728

circumference of entire circle = 2 PI radius
circumference of entire circle =



25.1327412287



inches

110 degree central angle = (110 / 360) =



0.3055555556



of the entire circle

So,

25.1327412287



0.3055555556 = 



7.6794487099



inches is the length of the subtended arc
ROUNDED = 7.7 inches


fllkhj

Answer:

7.7 in.

Step-by-step explanation:

Convert 110 to radians.  

110 (π/180) = 11π/18

Multiply 11π/18 and 4 which equals 22π/9

22π/9 = 7.7 in.