[b][size=150][size=200]What is the area of the region a goat tethered to a silo can graze? [/size][/size][/b][br][br][size=100][size=150]Let the radius of the silo be 1 unit. What is the length of the tether is pi? What if the length of the tether is 2*pi? What if the length of the tether is x? [/size][/size]

[url=https://www.geogebra.org/m/avju6dps]Inspired by Doug Kuhlmann's very similar activity. [/url] This one allows you to change the length of the tether. [br][br]Thanks Doug for all of your help over the years.

[size=150]The following applet is intended to give some hints to get started with 2 different methods for calculating the area. [br][/size][br]Hint: it will require some calculus... likely stuff from the second half of Single Variable Calculus.