For the problem below, θ is a central angle in a circle of radius r . Find the length of arc s cut off by θ . Enter exact answers, do not round. θ = 60 ∘ ; r = 8 inches

Question

For the problem below, θθ is a central angle in a circle of radius rr. Find the length of arc ss cut off by θθ. Enter exact answers, do not round.

θ=60∘θ=60∘ ; r=8r=8 inches

Answer 1

s = 2 * PI *r/6 = 2 * PI * 8 /6 = 8 * PI/3

Answer 2

theta = 60 =360/6 = 2pi/6 = pi/3 or 1/6 of the circle

r = 8 inches

arc = 1/6 of the circumference of the circle

circumference =2pir = 2pi(8) = 16pi

1/6 of 16pi

= 16pi/6

= 8pi/3 inches