17 b q15, fitzpatrick (1 Viewer)

[DanJohnson]

a sheep, grazing in a paddock, is tethered to a stake by a rope 20 m long. If the stake is 10 m from a fence, find the area over which the sheep can graze

 

[funnytomato]

http://imgur.com/ZJ8Or

the shaded area is where it cannot reach (lol, paint noob), which can be found using A=1/2 * r^2 * ( theta-sin(theta) )

then subtract this from the area of whole circle to find the area the sheep can graze

 

[DanJohnson]

thanks! i couldn't get my head around finding theta!