Q:

Wyatt's dog is tethered to a post in his yard. If the rope tied to the dog is 12 feet long, how many square yards does the dog have access to? (Use 3.14 for π.) https://clackamasweb.owschools.com/media/g_mat08_ccss_2016/7/img_circle_quiz.gif452.16 yd 2 50.24 yd 2 75.36 yd 2 25.12 yd 2

Accepted Solution

A:
Solution:Wyatt's dog is tethered to a post in his yard.The rope tied to the dog is 12 feet long.we have been asked to find How many square yards does the dog have access to?when Wyatt's dog is tethered to a post in his yard, then that dog can move along that post only and the area covered will be a circle with radius 12ft.So Area access to dog in ft^2 [tex] = \pi r^2=\pi 12^2=144 \pi [/tex]But it ask for area in yards, so we will have to use conversion formula [tex] 1ft=0.33333yard [/tex]Area access to dog in yards[tex] =144*3.14*(0.33333)^2=50.24 \ Yards [/tex]