Use the given dimensions to find the length of each circular arc. (Round your answers to two decimal places.)
(a) a = 60,
C = 42 cm
_____cm
(b) a = 72,
r = 6 ft
_______ ft
(c) C = 56 in
______in
(d) 5 m
______m
(a) central angle = 60....circumference = 42 cm
Formula for arc length = 2 * pi * radius * (central angle / 360 )
42 = 2 * pi * radius * (60 / 360)
42 = 2 * pi * radius (1/6)
42 = pi / 3 * radius ......multiply both sides by 3 /pi
42* 3 /pi = radius ≈ 40.11 cm
b) central angle = 72........radius = 6 ft
Arc length = 2 pi * 6 * ( 72 / 360) = 12 pi * (1/5) = 12 / 5 * pi ft ≈ 7.54 ft