The stake the rope is tied to is the center of the circle. If the goat pulls the rope as far as it can go and walks around like this he makes a circle and he can eat the grass anywhere within this circle.
(a) Since the area of a circle is given by
this is the formula we can use to find the area of the yard where the goat can roam/eat/reach.
(b) Since the rope is 4 feet the radius r = 4 and the area is given by
square feet. That's the exact area. For an approximation you could substitute 3.14 for pi and get 50.24 square feet.
(c)Since the rope is 5 feet the radius r = 4 and the area is given by
square feet. That's the exact area.
For an approximation you could substitute 3.14 for pi and get 78.5
square feet.
(a) Since the area of a circle is given by
(b) Since the rope is 4 feet the radius r = 4 and the area is given by
(c)Since the rope is 5 feet the radius r = 4 and the area is given by