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Find the length of each arc. Round your answers to the nearest tenth.

0 votes

Find the length of each arc. Round your answers to the nearest tenth.

asked Oct 30, 2018 in ALGEBRA 2 by anonymous

1 Answer

0 votes

Formula : Length of the arc  =  (θ/360) X 2πr.

Where r is radius of the arc and θ is the angle subtended.

1)

Radius r  =  11 ft

Angle θ  =  315

Length of the arc  =  (315/360) X 2π(11)

                             =  (0.875) X 22(3.141)

                             =  60.47565

                             =  60.5 ft

2)

Radius r  =  13 ft

Angle θ  =  270

Length of the arc  =  (270/360) X 2π(13)

                             =  (0.75) X 26(3.141)

                             =  61.2610

                             =  60.3 ft

3)

Radius r  =  16 ft

Angle θ  =  3π/2

              =  3(180)/2

Angle θ  =  270

Length of the arc  =  (270/360) X 2π(16)

                             =  (0.75) X 32(3.141)

                             =  75.39822

                             =  75.4 ft

4)

Radius r  =  13 in

Angle θ  =  π/6

              =  (180)/6

Angle θ  =  30

Length of the arc  =  (30/360) X 2π(13)

                             =  (0.0833) X 26(3.141)

                             =  6.80678

                             =  6.8 in

answered Oct 31, 2018 by homeworkhelp Mentor

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