Sir Henry is tethered to an anchor with a 16.5-meter rope. On the first day of training, Ryan walks Sir Henry through an angle of 140 degree's. How far has Sir Henry walked?

Question

Sir Henry has walked approximately ____ meters.

Answer 1

If the circle were of radius 1, then the angle of 140 would be proportional to the distance traveled, or

140/x = 360/2pi

Here, x represents the arc length on a unit circle and solves as x = (7pi)/9. So in this case the circle is just 16.5 times bigge...hence the answer is 16.5*7*pi/9