There is a formula that relates the arc length of a circle of radius, r, to the central angle ,θ in radians. S = r(θ) where S is arc length, r is radius, and θ is the central angle.
So substituting into the formula for the first question we have: 5.4=6(θ) and solving for θ we get 0.9
Now for the second question substituting into the formula we have:
S = 6([tex] \frac{3 \pi }{2} [/tex])
Solving this for S we find the arc length to be 9π
