Carousel for children

There are 5 seats evenly distributed on the children's carousel in the shape of a circle. What kind the arm of the carousel (connecting the center of the carousel to the seat) is long if the distance between with two seats is 1.2m?

Correct answer:

r =  1.0208 m

Step-by-step explanation:

n=5 s=1.2 m  φ=2 n360=2 5360=36   sinφ=s/2:r=1.2/2:1.0208==0:0  r=s/2/sinφ=s/2/sin36° =1.2/2/sin36° =1.2/2/0.587785=1.02078=1.0208 m   Verifying Solution:  o=2π r=2 3.1416 1.02086.4138 m o1=o/12=6.4138/120.5345 m o1  s

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