Seats on carousel

There are 12 seats evenly distributed on the children's carousel in the shape of a circle. How long is the arm of the carousel (connecting the center of the carousel to the seat) if the distance between the two seats is 1.5m?

Correct answer:

r =  2.8978 m

Step-by-step explanation:

n=12 s=1.5 m  φ=2 n360=2 12360=15   sinφ=s/2:r=1.5/2:2.8978==0:0  r=s/2/sinφ=s/2/sin15° =1.5/2/sin15° =1.5/2/0.258819=2.89778=2.8978 m   Verifying Solution:  o=2π r=2 3.1416 2.897818.2073 m o1=o/12=18.2073/121.5173 m o1  s

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